kilobytes = 63.9410091660560 q = 3 m = 7 n = 1381 s = 0 t = 22 u = 44 k = 1073 w = 33 ciphertext = [2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1] recovered_plaintext_using_secret_key = True pubkeycol308 = [2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol309 = [1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol310 = [0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol311 = [2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol312 = [2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol313 = [0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol314 = [2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol315 = [0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol316 = [1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1] pubkeycol317 = [2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1] pubkeycol318 = [1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2] pubkeycol319 = [1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol320 = [1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2] pubkeycol321 = [0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol322 = [0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol323 = [2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol324 = [0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2] pubkeycol325 = [1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol326 = [2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol327 = [0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol328 = [0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2] pubkeycol329 = [0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol330 = [1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol331 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol332 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol333 = [2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol334 = [0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol335 = [2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol336 = [2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1] pubkeycol337 = [1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol338 = [0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1] pubkeycol339 = [1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol340 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol341 = [2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0] pubkeycol342 = [2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol343 = [2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol344 = [0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol345 = [1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol346 = [2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol347 = [0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2] pubkeycol348 = [1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0] pubkeycol349 = [0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0] pubkeycol350 = [1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol351 = [0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1] pubkeycol352 = [2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1] pubkeycol353 = [2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol354 = [1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol355 = [1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol356 = [1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol357 = [0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol358 = [1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1] pubkeycol359 = [1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0] pubkeycol360 = [0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol361 = [2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol362 = [2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol363 = [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol364 = [0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2] pubkeycol365 = [1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol366 = [2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol367 = [1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2] pubkeycol368 = [2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol369 = [0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1] pubkeycol370 = [1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1] pubkeycol371 = [0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol372 = [2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol373 = [2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol374 = [0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol375 = [0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol376 = [0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol377 = [2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol378 = [1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2] pubkeycol379 = [2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol380 = [1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol381 = [0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0] pubkeycol382 = [0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol383 = [0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol384 = [0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol385 = [2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol386 = [1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2] pubkeycol387 = [2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2] pubkeycol388 = [1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol389 = [1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1] pubkeycol390 = [0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol391 = [1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol392 = [0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol393 = [1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1] pubkeycol394 = [0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol395 = [2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol396 = [0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol397 = [0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol398 = [1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol399 = [1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol400 = [0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol401 = [1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2] pubkeycol402 = [2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol403 = [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1] pubkeycol404 = [0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol405 = [0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2] pubkeycol406 = [1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol407 = [1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1] pubkeycol408 = [1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol409 = [2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol410 = [1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol411 = [2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol412 = [0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol413 = [1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol414 = [0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1] pubkeycol415 = [0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol416 = [0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1] pubkeycol417 = [2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1] pubkeycol418 = [1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol419 = [1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0] pubkeycol420 = [1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1] pubkeycol421 = [0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2] pubkeycol422 = [0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol423 = [0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol424 = [0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol425 = [2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol426 = [2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol427 = [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol428 = [1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0] pubkeycol429 = [1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2] pubkeycol430 = [0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol431 = [0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0] pubkeycol432 = [2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol433 = [2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0] pubkeycol434 = [0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol435 = [1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2] pubkeycol436 = [1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol437 = [1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol438 = [2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol439 = [2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol440 = [2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol441 = [2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol442 = [0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol443 = [1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1] pubkeycol444 = [1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol445 = [1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol446 = [1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol447 = [1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1] pubkeycol448 = [1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1] pubkeycol449 = [1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol450 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol451 = [0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol452 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol453 = [0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol454 = [1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol455 = [0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol456 = [1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol457 = [2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2] pubkeycol458 = [2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol459 = [2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol460 = [2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol461 = [0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol462 = [0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol463 = [2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol464 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol465 = [2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol466 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol467 = [1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1] pubkeycol468 = [2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol469 = [0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol470 = [1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol471 = [1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol472 = [2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2] pubkeycol473 = [1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol474 = [2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol475 = [0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol476 = [0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1] pubkeycol477 = [2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2] pubkeycol478 = [2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol479 = [1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0] pubkeycol480 = [0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol481 = [1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1] pubkeycol482 = [1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol483 = [2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol484 = [1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol485 = [1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol486 = [2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol487 = [1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol488 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol489 = [0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1] pubkeycol490 = [2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol491 = [2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0] pubkeycol492 = [0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1] pubkeycol493 = [0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol494 = [1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1] pubkeycol495 = [0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2] pubkeycol496 = [1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol497 = [1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0] pubkeycol498 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0] pubkeycol499 = [1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2] pubkeycol500 = [1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol501 = [0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol502 = [0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol503 = [0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0] pubkeycol504 = [1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol505 = [2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol506 = [1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol507 = [1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol508 = [0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol509 = [0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol510 = [2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol511 = [2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol512 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol513 = [0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol514 = [1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2] pubkeycol515 = [1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol516 = [1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol517 = [1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol518 = [2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol519 = [2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol520 = [2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0] pubkeycol521 = [2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol522 = [1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol523 = [0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol524 = [1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol525 = [2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2] pubkeycol526 = [0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol527 = [0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol528 = [0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol529 = [1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol530 = [1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol531 = [0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0] pubkeycol532 = [2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol533 = [2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2] pubkeycol534 = [2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol535 = [2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol536 = [1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol537 = [2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2] pubkeycol538 = [2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol539 = [2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol540 = [2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1] pubkeycol541 = [0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol542 = [1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol543 = [1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1] pubkeycol544 = [2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0] pubkeycol545 = [0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol546 = [1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2] pubkeycol547 = [0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol548 = [2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol549 = [0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1] pubkeycol550 = [0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol551 = [0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1] pubkeycol552 = [0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2] pubkeycol553 = [2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol554 = [2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol555 = [0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol556 = [0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol557 = [1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol558 = [0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol559 = [0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol560 = [2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2] pubkeycol561 = [0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0] pubkeycol562 = [0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol563 = [1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0] pubkeycol564 = [2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol565 = [2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol566 = [1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol567 = [2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol568 = [2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol569 = [2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol570 = [1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol571 = [0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol572 = [0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol573 = [2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1] pubkeycol574 = [0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol575 = [2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0] pubkeycol576 = [2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol577 = [1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol578 = [0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0] pubkeycol579 = [2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1] pubkeycol580 = [2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol581 = [1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol582 = [2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol583 = [2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol584 = [0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol585 = [0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol586 = [1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol587 = [1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol588 = [2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1] pubkeycol589 = [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol590 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol591 = [2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol592 = [2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol593 = [2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1] pubkeycol594 = [2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol595 = [1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol596 = [0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol597 = [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol598 = [2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol599 = [1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol600 = [1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol601 = [2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol602 = [2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol603 = [1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol604 = [2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol605 = [2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol606 = [2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol607 = [0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol608 = [2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1] pubkeycol609 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol610 = [1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0] pubkeycol611 = [0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2] pubkeycol612 = [2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2] pubkeycol613 = [1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol614 = [2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol615 = [1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol616 = [2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2] pubkeycol617 = [0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol618 = [2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0] pubkeycol619 = [1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2] pubkeycol620 = [2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2] pubkeycol621 = [2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol622 = [2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol623 = [2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol624 = [2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol625 = [0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol626 = [0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol627 = [1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol628 = [1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol629 = [1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2] pubkeycol630 = [0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol631 = [0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol632 = [2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol633 = [2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol634 = [1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol635 = [0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2] pubkeycol636 = [0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol637 = [1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol638 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol639 = [1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol640 = [2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol641 = [1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol642 = [1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol643 = [1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol644 = [2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0] pubkeycol645 = [2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol646 = [1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol647 = [0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0] pubkeycol648 = [2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol649 = [0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol650 = [2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol651 = [1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1] pubkeycol652 = [1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol653 = [0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0] pubkeycol654 = [1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol655 = [0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol656 = [2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol657 = [1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol658 = [1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol659 = [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol660 = [2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1] pubkeycol661 = [0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1] pubkeycol662 = [1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1] pubkeycol663 = [0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0] pubkeycol664 = [0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol665 = [2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol666 = [2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol667 = [2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0] pubkeycol668 = [1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1] pubkeycol669 = [0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol670 = [0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol671 = [0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1] pubkeycol672 = [0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol673 = [2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol674 = [0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol675 = [0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol676 = [2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol677 = [0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol678 = [0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1] pubkeycol679 = [0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1] pubkeycol680 = [0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol681 = [1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2] pubkeycol682 = [0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol683 = [0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1] pubkeycol684 = [2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol685 = [2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2] pubkeycol686 = [1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2] pubkeycol687 = [2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol688 = [1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0] pubkeycol689 = [1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol690 = [2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol691 = [0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol692 = [0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2] pubkeycol693 = [2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol694 = [1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol695 = [2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol696 = [2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol697 = [2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol698 = [1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol699 = [0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2] pubkeycol700 = [1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol701 = [2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol702 = [0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol703 = [2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1] pubkeycol704 = [0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol705 = [2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol706 = [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol707 = [0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0] pubkeycol708 = [1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2] pubkeycol709 = [1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol710 = [2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol711 = [0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol712 = [2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol713 = [1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol714 = [0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol715 = [1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol716 = [1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2] pubkeycol717 = [0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol718 = [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1] pubkeycol719 = [2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol720 = [2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol721 = [2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol722 = [1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol723 = [1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol724 = [2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol725 = [0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol726 = [1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol727 = [0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol728 = [1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol729 = [0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol730 = [1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0] pubkeycol731 = [2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1] pubkeycol732 = [1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0] pubkeycol733 = [1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol734 = [1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1] pubkeycol735 = [1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol736 = [1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2] pubkeycol737 = [1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol738 = [1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol739 = [1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol740 = [0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol741 = [0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol742 = [2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol743 = [0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol744 = [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol745 = [0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0] pubkeycol746 = [1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2] pubkeycol747 = [1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2] pubkeycol748 = [0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol749 = [1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2] pubkeycol750 = [0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1] pubkeycol751 = [1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol752 = [2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0] pubkeycol753 = [2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol754 = [2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol755 = [0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2] pubkeycol756 = [1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2] pubkeycol757 = [1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2] pubkeycol758 = [2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0] pubkeycol759 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0] pubkeycol760 = [1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol761 = [1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0] pubkeycol762 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1] pubkeycol763 = [1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol764 = [2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2] pubkeycol765 = [1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol766 = [0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol767 = [1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol768 = [0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol769 = [1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol770 = [2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2] pubkeycol771 = [2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol772 = [0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol773 = [0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1] pubkeycol774 = [1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2] pubkeycol775 = [2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol776 = [0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0] pubkeycol777 = [2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol778 = [1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0] pubkeycol779 = [2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol780 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0] pubkeycol781 = [0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol782 = [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1] pubkeycol783 = [2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol784 = [1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol785 = [0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol786 = [0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol787 = [2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1] pubkeycol788 = [2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol789 = [0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2] pubkeycol790 = [2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2] pubkeycol791 = [1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol792 = [1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol793 = [2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0] pubkeycol794 = [0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol795 = [0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol796 = [2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol797 = [0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol798 = [0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol799 = [0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol800 = [0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0] pubkeycol801 = [2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1] pubkeycol802 = [1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol803 = [1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol804 = [1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol805 = [0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol806 = [2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol807 = [0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol808 = [0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol809 = [2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol810 = [2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2] pubkeycol811 = [1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol812 = [2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0] pubkeycol813 = [0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol814 = [1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol815 = [1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol816 = [2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0] pubkeycol817 = [2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol818 = [0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol819 = [1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol820 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0] pubkeycol821 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2] pubkeycol822 = [0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1] pubkeycol823 = [2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol824 = [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol825 = [2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol826 = [1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol827 = [0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol828 = [1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol829 = [0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0] pubkeycol830 = [0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol831 = [2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol832 = [0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol833 = [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1] pubkeycol834 = [2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol835 = [1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol836 = [1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol837 = [2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2] pubkeycol838 = [1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol839 = [1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1] pubkeycol840 = [2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol841 = [0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1] pubkeycol842 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1] pubkeycol843 = [2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol844 = [0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0] pubkeycol845 = [2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol846 = [1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol847 = [1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol848 = [2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol849 = [1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol850 = [2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol851 = [1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol852 = [0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0] pubkeycol853 = [0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1] pubkeycol854 = [0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol855 = [2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1] pubkeycol856 = [1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0] pubkeycol857 = [1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0] pubkeycol858 = [2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol859 = [2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2] pubkeycol860 = [0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol861 = [2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol862 = [2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol863 = [2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2] pubkeycol864 = [1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol865 = [2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol866 = [1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol867 = [1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2] pubkeycol868 = [1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0] pubkeycol869 = [2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol870 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol871 = [2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol872 = [0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol873 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol874 = [1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol875 = [1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol876 = [1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol877 = [1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol878 = [2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol879 = [2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol880 = [1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1] pubkeycol881 = [2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0] pubkeycol882 = [2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol883 = [1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol884 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol885 = [0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol886 = [2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol887 = [0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol888 = [2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol889 = [0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol890 = [2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1] pubkeycol891 = [1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol892 = [1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol893 = [1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol894 = [0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol895 = [1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol896 = [0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol897 = [2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol898 = [1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol899 = [0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol900 = [2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol901 = [2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol902 = [0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1] pubkeycol903 = [1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol904 = [0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol905 = [2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol906 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol907 = [2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1] pubkeycol908 = [2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol909 = [2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol910 = [2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol911 = [1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol912 = [0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol913 = [2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0] pubkeycol914 = [2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol915 = [1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0] pubkeycol916 = [2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2] pubkeycol917 = [0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol918 = [0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol919 = [0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol920 = [0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2] pubkeycol921 = [2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2] pubkeycol922 = [0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0] pubkeycol923 = [2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1] pubkeycol924 = [1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol925 = [2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol926 = [1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol927 = [0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol928 = [0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol929 = [1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0] pubkeycol930 = [1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol931 = [2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1] pubkeycol932 = [0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol933 = [0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2] pubkeycol934 = [2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol935 = [0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol936 = [2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0] pubkeycol937 = [1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0] pubkeycol938 = [0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2] pubkeycol939 = [1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol940 = [1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0] pubkeycol941 = [1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol942 = [0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1] pubkeycol943 = [2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol944 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1] pubkeycol945 = [0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol946 = [1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1] pubkeycol947 = [2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol948 = [2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol949 = [1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol950 = [2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol951 = [1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol952 = [1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol953 = [1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1] pubkeycol954 = [2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol955 = [1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0] pubkeycol956 = [0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol957 = [2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol958 = [1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1] pubkeycol959 = [2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol960 = [0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol961 = [2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2] pubkeycol962 = [1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0] pubkeycol963 = [2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol964 = [2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol965 = [2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2] pubkeycol966 = [2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1] pubkeycol967 = [1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol968 = [2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol969 = [0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol970 = [1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol971 = [1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol972 = [1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2] pubkeycol973 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol974 = [0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol975 = [1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2] pubkeycol976 = [0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0] pubkeycol977 = [0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol978 = [1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol979 = [0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol980 = [0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol981 = [0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol982 = [1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol983 = [0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0] pubkeycol984 = [0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol985 = [2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol986 = [2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol987 = [2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol988 = [1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol989 = [2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol990 = [0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol991 = [1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol992 = [2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol993 = [2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1] pubkeycol994 = [0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1] pubkeycol995 = [1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol996 = [0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol997 = [0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2] pubkeycol998 = [2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2] pubkeycol999 = [0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol1000 = [1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1] pubkeycol1001 = [1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol1002 = [1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol1003 = [2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol1004 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol1005 = [2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol1006 = [1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1] pubkeycol1007 = [1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2] pubkeycol1008 = [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol1009 = [1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0] pubkeycol1010 = [2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol1011 = [0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol1012 = [0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol1013 = [1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0] pubkeycol1014 = [0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol1015 = [2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0] pubkeycol1016 = [2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol1017 = [1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol1018 = [0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol1019 = [1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol1020 = [2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol1021 = [2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0] pubkeycol1022 = [1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol1023 = [2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol1024 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol1025 = [0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2] pubkeycol1026 = [2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1] pubkeycol1027 = [2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol1028 = [1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2] pubkeycol1029 = [2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol1030 = [1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol1031 = [0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol1032 = [1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol1033 = [2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol1034 = [2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol1035 = [2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol1036 = [0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2] pubkeycol1037 = [1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0] pubkeycol1038 = [1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol1039 = [2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol1040 = [2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol1041 = [1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol1042 = [1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol1043 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol1044 = [1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol1045 = [2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1046 = [1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol1047 = [1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol1048 = [0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0] pubkeycol1049 = [2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol1050 = [1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol1051 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1] pubkeycol1052 = [2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol1053 = [1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol1054 = [2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol1055 = [0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2] pubkeycol1056 = [1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol1057 = [2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol1058 = [0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol1059 = [2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol1060 = [0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol1061 = [0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol1062 = [2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol1063 = [2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2] pubkeycol1064 = [1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol1065 = [1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol1066 = [1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0] pubkeycol1067 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol1068 = [2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol1069 = [2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol1070 = [1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol1071 = [0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1] pubkeycol1072 = [0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0] pubkeycol1073 = [0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1] pubkeycol1074 = [1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol1075 = [0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1] pubkeycol1076 = [1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol1077 = [2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol1078 = [2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol1079 = [0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol1080 = [1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol1081 = [0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol1082 = [2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol1083 = [2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1084 = [1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2] pubkeycol1085 = [2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0] pubkeycol1086 = [0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol1087 = [0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0] pubkeycol1088 = [0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol1089 = [1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1] pubkeycol1090 = [0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol1091 = [2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol1092 = [2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2] pubkeycol1093 = [2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol1094 = [2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol1095 = [1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol1096 = [0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol1097 = [1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol1098 = [1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol1099 = [2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol1100 = [1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol1101 = [1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0] pubkeycol1102 = [2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol1103 = [1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol1104 = [0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol1105 = [1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol1106 = [2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0] pubkeycol1107 = [2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol1108 = [1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2] pubkeycol1109 = [1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol1110 = [1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol1111 = [1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol1112 = [2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2] pubkeycol1113 = [0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol1114 = [2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1] pubkeycol1115 = [2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol1116 = [1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol1117 = [0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol1118 = [2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0] pubkeycol1119 = [0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol1120 = [0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0] pubkeycol1121 = [0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol1122 = [0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1123 = [2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0] pubkeycol1124 = [0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol1125 = [0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol1126 = [1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1] pubkeycol1127 = [1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2] pubkeycol1128 = [1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol1129 = [2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol1130 = [1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2] pubkeycol1131 = [0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol1132 = [0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol1133 = [1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol1134 = [2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol1135 = [0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol1136 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol1137 = [0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1] pubkeycol1138 = [2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol1139 = [0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol1140 = [0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol1141 = [2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2] pubkeycol1142 = [1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1143 = [2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol1144 = [2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol1145 = [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol1146 = [0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0] pubkeycol1147 = [0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1] pubkeycol1148 = [1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol1149 = [1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol1150 = [0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol1151 = [0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0] pubkeycol1152 = [2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1] pubkeycol1153 = [0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol1154 = [1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0] pubkeycol1155 = [1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1] pubkeycol1156 = [0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol1157 = [2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2] pubkeycol1158 = [2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol1159 = [0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol1160 = [0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol1161 = [1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol1162 = [2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2] pubkeycol1163 = [0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2] pubkeycol1164 = [1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol1165 = [0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol1166 = [1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol1167 = [1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol1168 = [0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol1169 = [2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol1170 = [2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol1171 = [1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol1172 = [0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol1173 = [1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol1174 = [1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol1175 = [1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol1176 = [1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0] pubkeycol1177 = [1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol1178 = [1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2] pubkeycol1179 = [0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1] pubkeycol1180 = [2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol1181 = [1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol1182 = [0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol1183 = [2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol1184 = [0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0] pubkeycol1185 = [2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol1186 = [1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol1187 = [0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol1188 = [0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0] pubkeycol1189 = [1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol1190 = [0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol1191 = [1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol1192 = [2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol1193 = [2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol1194 = [2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1] pubkeycol1195 = [0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol1196 = [0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol1197 = [2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol1198 = [2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1] pubkeycol1199 = [1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol1200 = [0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1] pubkeycol1201 = [1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol1202 = [2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol1203 = [1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol1204 = [2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol1205 = [0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol1206 = [0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol1207 = [1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2] pubkeycol1208 = [1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol1209 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol1210 = [0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol1211 = [0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol1212 = [0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol1213 = [1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol1214 = [1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2] pubkeycol1215 = [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol1216 = [0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2] pubkeycol1217 = [0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0] pubkeycol1218 = [2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol1219 = [2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol1220 = [2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol1221 = [0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol1222 = [2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2] pubkeycol1223 = [2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2] pubkeycol1224 = [0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol1225 = [2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol1226 = [1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol1227 = [0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol1228 = [1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol1229 = [2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol1230 = [0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol1231 = [1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol1232 = [0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol1233 = [0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1] pubkeycol1234 = [1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol1235 = [1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol1236 = [0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol1237 = [1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2] pubkeycol1238 = [0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol1239 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol1240 = [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol1241 = [1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol1242 = [1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol1243 = [1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol1244 = [2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol1245 = [2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol1246 = [2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol1247 = [0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol1248 = [2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol1249 = [2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol1250 = [2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol1251 = [1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2] pubkeycol1252 = [2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol1253 = [1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol1254 = [2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol1255 = [0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1] pubkeycol1256 = [0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol1257 = [1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol1258 = [2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol1259 = [2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2] pubkeycol1260 = [0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol1261 = [2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0] pubkeycol1262 = [0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol1263 = [2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol1264 = [1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1] pubkeycol1265 = [0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1] pubkeycol1266 = [2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol1267 = [1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1] pubkeycol1268 = [1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol1269 = [1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol1270 = [1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol1271 = [2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol1272 = [1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0] pubkeycol1273 = [1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2] pubkeycol1274 = [2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1] pubkeycol1275 = [0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol1276 = [1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol1277 = [2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol1278 = [0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol1279 = [0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol1280 = [2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol1281 = [2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol1282 = [2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol1283 = [0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol1284 = [2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol1285 = [1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol1286 = [0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2] pubkeycol1287 = [1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol1288 = [2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol1289 = [0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol1290 = [2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol1291 = [2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol1292 = [2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2] pubkeycol1293 = [1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1] pubkeycol1294 = [0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol1295 = [2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol1296 = [1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol1297 = [2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1] pubkeycol1298 = [0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1] pubkeycol1299 = [1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2] pubkeycol1300 = [2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol1301 = [0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol1302 = [2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2] pubkeycol1303 = [0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] pubkeycol1304 = [0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol1305 = [2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0] pubkeycol1306 = [2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol1307 = [1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1] pubkeycol1308 = [2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2] pubkeycol1309 = [0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol1310 = [1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol1311 = [2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0] pubkeycol1312 = [2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1] pubkeycol1313 = [1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol1314 = [0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol1315 = [2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1] pubkeycol1316 = [2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0] pubkeycol1317 = [1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol1318 = [1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol1319 = [2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0] pubkeycol1320 = [1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol1321 = [0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2] pubkeycol1322 = [2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol1323 = [1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0] pubkeycol1324 = [1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol1325 = [0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol1326 = [1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol1327 = [1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1] pubkeycol1328 = [0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1] pubkeycol1329 = [0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol1330 = [2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol1331 = [2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol1332 = [2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol1333 = [0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol1334 = [0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol1335 = [2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol1336 = [0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1] pubkeycol1337 = [1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol1338 = [0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol1339 = [1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol1340 = [2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol1341 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0] pubkeycol1342 = [1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol1343 = [2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol1344 = [2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol1345 = [1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol1346 = [2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1] pubkeycol1347 = [2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol1348 = [1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol1349 = [0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2] pubkeycol1350 = [1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol1351 = [1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol1352 = [2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0] pubkeycol1353 = [1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2] pubkeycol1354 = [1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol1355 = [1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol1356 = [0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0] pubkeycol1357 = [2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol1358 = [1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol1359 = [1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol1360 = [1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol1361 = [1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol1362 = [0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol1363 = [0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol1364 = [1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol1365 = [0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol1366 = [1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol1367 = [1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol1368 = [2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol1369 = [1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol1370 = [1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0] pubkeycol1371 = [1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol1372 = [0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1] pubkeycol1373 = [2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol1374 = [1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol1375 = [2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol1376 = [0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1] pubkeycol1377 = [0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1] pubkeycol1378 = [1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol1379 = [1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol1380 = [1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1]