kilobytes = 47.6727002170035 q = 3 m = 7 n = 1108 s = 0 t = 22 u = 44 k = 800 w = 33 ciphertext = [2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1] recovered_plaintext_using_secret_key = True pubkeycol308 = [1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol309 = [1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol310 = [0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol311 = [1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol312 = [0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol313 = [1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol314 = [2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol315 = [2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2] pubkeycol316 = [0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol317 = [0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol318 = [0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol319 = [1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol320 = [2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol321 = [2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol322 = [0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2] pubkeycol323 = [2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol324 = [2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol325 = [2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol326 = [1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0] pubkeycol327 = [0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol328 = [1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol329 = [2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol330 = [1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol331 = [0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2] pubkeycol332 = [0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol333 = [0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol334 = [0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2] pubkeycol335 = [2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol336 = [2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0] pubkeycol337 = [0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol338 = [2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0] pubkeycol339 = [1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol340 = [2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol341 = [1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol342 = [0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol343 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol344 = [0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol345 = [2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol346 = [0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol347 = [1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol348 = [1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol349 = [2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol350 = [0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1] pubkeycol351 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol352 = [1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol353 = [0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol354 = [0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol355 = [1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol356 = [2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol357 = [1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol358 = [0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol359 = [1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol360 = [1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol361 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol362 = [0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1] pubkeycol363 = [1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1] pubkeycol364 = [1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1] pubkeycol365 = [1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0] pubkeycol366 = [2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol367 = [0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol368 = [0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol369 = [0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol370 = [2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol371 = [2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2] pubkeycol372 = [1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol373 = [2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol374 = [0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol375 = [0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2] pubkeycol376 = [0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0] pubkeycol377 = [1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol378 = [2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol379 = [1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2] pubkeycol380 = [1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol381 = [0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol382 = [2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol383 = [2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol384 = [1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol385 = [1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol386 = [1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol387 = [0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1] pubkeycol388 = [0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol389 = [1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol390 = [1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol391 = [0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol392 = [0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol393 = [0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol394 = [2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol395 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol396 = [1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol397 = [2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol398 = [0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol399 = [1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol400 = [2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0] pubkeycol401 = [0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1] pubkeycol402 = [0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol403 = [1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol404 = [0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol405 = [1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2] pubkeycol406 = [2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol407 = [1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol408 = [0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol409 = [2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol410 = [0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1] pubkeycol411 = [0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol412 = [2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol413 = [1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1] pubkeycol414 = [0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol415 = [1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol416 = [2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0] pubkeycol417 = [2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol418 = [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol419 = [0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol420 = [0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol421 = [1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol422 = [2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol423 = [1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1] pubkeycol424 = [0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2] pubkeycol425 = [1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol426 = [0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol427 = [1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2] pubkeycol428 = [1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol429 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1] pubkeycol430 = [0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0] pubkeycol431 = [0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1] pubkeycol432 = [1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol433 = [0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol434 = [0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1] pubkeycol435 = [2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol436 = [0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol437 = [1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol438 = [0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol439 = [0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2] pubkeycol440 = [0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol441 = [1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol442 = [0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol443 = [0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol444 = [0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0] pubkeycol445 = [1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol446 = [0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol447 = [1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1] pubkeycol448 = [2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1] pubkeycol449 = [1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol450 = [0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol451 = [2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2] pubkeycol452 = [0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol453 = [0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol454 = [0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol455 = [1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol456 = [1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol457 = [1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol458 = [1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1] pubkeycol459 = [2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol460 = [2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol461 = [0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2] pubkeycol462 = [2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2] pubkeycol463 = [0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol464 = [1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0] pubkeycol465 = [2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2] pubkeycol466 = [1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol467 = [1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol468 = [1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol469 = [0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol470 = [1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol471 = [1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2] pubkeycol472 = [0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2] pubkeycol473 = [2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol474 = [0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol475 = [1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol476 = [0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2] pubkeycol477 = [1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol478 = [2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol479 = [2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol480 = [2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol481 = [1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol482 = [0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol483 = [0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol484 = [0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol485 = [0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol486 = [1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol487 = [2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2] pubkeycol488 = [0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0] pubkeycol489 = [1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol490 = [2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol491 = [2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol492 = [2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol493 = [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol494 = [0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1] pubkeycol495 = [2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol496 = [1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0] pubkeycol497 = [1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0] pubkeycol498 = [1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol499 = [1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol500 = [1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1] pubkeycol501 = [2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol502 = [0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol503 = [2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol504 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol505 = [1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol506 = [0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0] pubkeycol507 = [2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0] pubkeycol508 = [1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol509 = [1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol510 = [1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0] pubkeycol511 = [1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2] pubkeycol512 = [1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol513 = [1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol514 = [1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2] pubkeycol515 = [1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol516 = [0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0] pubkeycol517 = [1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol518 = [2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol519 = [1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1] pubkeycol520 = [0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol521 = [0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol522 = [0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1] pubkeycol523 = [2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol524 = [2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1] pubkeycol525 = [1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2] pubkeycol526 = [0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol527 = [2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol528 = [0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol529 = [1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol530 = [2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0] pubkeycol531 = [1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol532 = [2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol533 = [1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0] pubkeycol534 = [2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2] pubkeycol535 = [1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol536 = [0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol537 = [1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol538 = [2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol539 = [1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1] pubkeycol540 = [0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol541 = [0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0] pubkeycol542 = [2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1] pubkeycol543 = [0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol544 = [1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol545 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol546 = [0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1] pubkeycol547 = [0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol548 = [1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol549 = [1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol550 = [2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0] pubkeycol551 = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol552 = [0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol553 = [1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol554 = [2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol555 = [0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol556 = [2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol557 = [2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0] pubkeycol558 = [0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol559 = [2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol560 = [0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol561 = [0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol562 = [0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol563 = [1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol564 = [0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol565 = [0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol566 = [1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol567 = [1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol568 = [1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2] pubkeycol569 = [0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0] pubkeycol570 = [0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1] pubkeycol571 = [0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol572 = [1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol573 = [2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol574 = [1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol575 = [1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol576 = [0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1] pubkeycol577 = [2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol578 = [1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol579 = [0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0] pubkeycol580 = [1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2] pubkeycol581 = [2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol582 = [2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol583 = [2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol584 = [0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0] pubkeycol585 = [1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol586 = [2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol587 = [0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2] pubkeycol588 = [2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0] pubkeycol589 = [2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol590 = [0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol591 = [2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol592 = [0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol593 = [0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0] pubkeycol594 = [2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol595 = [2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol596 = [1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol597 = [0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1] pubkeycol598 = [1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol599 = [0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0] pubkeycol600 = [1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1] pubkeycol601 = [1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol602 = [0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol603 = [0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0] pubkeycol604 = [2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol605 = [1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol606 = [0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0] pubkeycol607 = [1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2] pubkeycol608 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol609 = [2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol610 = [2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2] pubkeycol611 = [1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol612 = [1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol613 = [1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0] pubkeycol614 = [0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2] pubkeycol615 = [2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol616 = [1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1] pubkeycol617 = [1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0] pubkeycol618 = [2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol619 = [1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1] pubkeycol620 = [2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol621 = [1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0] pubkeycol622 = [0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol623 = [0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol624 = [1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol625 = [2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol626 = [1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2] pubkeycol627 = [2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol628 = [0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2] pubkeycol629 = [2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol630 = [1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol631 = [0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol632 = [1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol633 = [2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1] pubkeycol634 = [2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol635 = [2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol636 = [2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1] pubkeycol637 = [0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1] pubkeycol638 = [0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol639 = [0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol640 = [1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2] pubkeycol641 = [0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol642 = [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol643 = [1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol644 = [0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol645 = [1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol646 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0] pubkeycol647 = [1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0] pubkeycol648 = [1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol649 = [1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0] pubkeycol650 = [0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2] pubkeycol651 = [1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol652 = [2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2] pubkeycol653 = [2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol654 = [2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol655 = [0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol656 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol657 = [0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol658 = [0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol659 = [0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol660 = [0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol661 = [1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1] pubkeycol662 = [1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0] pubkeycol663 = [2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol664 = [2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2] pubkeycol665 = [1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol666 = [2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1] pubkeycol667 = [0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0] pubkeycol668 = [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol669 = [2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol670 = [1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2] pubkeycol671 = [0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2] pubkeycol672 = [0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol673 = [0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol674 = [2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol675 = [1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol676 = [1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol677 = [0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol678 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0] pubkeycol679 = [0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol680 = [2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol681 = [2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol682 = [1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol683 = [1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol684 = [1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1] pubkeycol685 = [0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol686 = [1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol687 = [2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol688 = [0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol689 = [0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol690 = [1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol691 = [0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2] pubkeycol692 = [1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0] pubkeycol693 = [2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol694 = [1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol695 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0] pubkeycol696 = [1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2] pubkeycol697 = [1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol698 = [1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1] pubkeycol699 = [0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0] pubkeycol700 = [1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1] pubkeycol701 = [2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol702 = [2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol703 = [0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol704 = [2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol705 = [0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol706 = [0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol707 = [0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol708 = [0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol709 = [1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol710 = [2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol711 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol712 = [0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1] pubkeycol713 = [2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol714 = [0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol715 = [2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol716 = [2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol717 = [2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0] pubkeycol718 = [2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol719 = [2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol720 = [0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol721 = [1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol722 = [1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1] pubkeycol723 = [2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol724 = [0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0] pubkeycol725 = [1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2] pubkeycol726 = [0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol727 = [0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol728 = [1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0] pubkeycol729 = [0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol730 = [1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol731 = [2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0] pubkeycol732 = [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol733 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol734 = [0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol735 = [0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol736 = [2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1] pubkeycol737 = [2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol738 = [0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol739 = [1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol740 = [2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol741 = [0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol742 = [0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0] pubkeycol743 = [0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol744 = [1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol745 = [2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol746 = [2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol747 = [0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol748 = [0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol749 = [0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol750 = [0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol751 = [1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol752 = [1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol753 = [0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0] pubkeycol754 = [1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol755 = [0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol756 = [0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1] pubkeycol757 = [2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0] pubkeycol758 = [0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol759 = [1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol760 = [2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol761 = [2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol762 = [1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol763 = [1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol764 = [1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1] pubkeycol765 = [2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol766 = [0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol767 = [2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol768 = [0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0] pubkeycol769 = [2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol770 = [0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol771 = [1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol772 = [2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol773 = [1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol774 = [1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol775 = [2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol776 = [1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol777 = [2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2] pubkeycol778 = [0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol779 = [1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol780 = [0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol781 = [1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0] pubkeycol782 = [2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol783 = [1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol784 = [0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol785 = [2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol786 = [0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol787 = [2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol788 = [1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol789 = [2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol790 = [0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol791 = [0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0] pubkeycol792 = [0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol793 = [0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1] pubkeycol794 = [0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol795 = [0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol796 = [1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol797 = [2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol798 = [0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0] pubkeycol799 = [2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol800 = [0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1] pubkeycol801 = [1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2] pubkeycol802 = [0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol803 = [2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol804 = [0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2] pubkeycol805 = [1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol806 = [1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol807 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2] pubkeycol808 = [2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol809 = [2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol810 = [0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol811 = [1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1] pubkeycol812 = [1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2] pubkeycol813 = [2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol814 = [1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol815 = [2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol816 = [2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2] pubkeycol817 = [0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol818 = [0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol819 = [2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol820 = [2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol821 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2] pubkeycol822 = [1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2] pubkeycol823 = [2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol824 = [0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2] pubkeycol825 = [1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol826 = [0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol827 = [1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0] pubkeycol828 = [1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol829 = [1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol830 = [0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0] pubkeycol831 = [1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol832 = [1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol833 = [0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol834 = [2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0] pubkeycol835 = [0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol836 = [0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol837 = [0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0] pubkeycol838 = [1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0] pubkeycol839 = [1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol840 = [0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol841 = [0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol842 = [1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol843 = [2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol844 = [1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1] pubkeycol845 = [0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol846 = [1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol847 = [1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1] pubkeycol848 = [0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol849 = [0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0] pubkeycol850 = [2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol851 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1] pubkeycol852 = [1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1] pubkeycol853 = [2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1] pubkeycol854 = [0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol855 = [2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol856 = [0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol857 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol858 = [0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol859 = [0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol860 = [2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol861 = [0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1] pubkeycol862 = [1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol863 = [0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol864 = [2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol865 = [0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0] pubkeycol866 = [1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol867 = [2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol868 = [1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0] pubkeycol869 = [0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol870 = [0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol871 = [2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0] pubkeycol872 = [2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol873 = [0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2] pubkeycol874 = [0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol875 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol876 = [0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0] pubkeycol877 = [2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol878 = [2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol879 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol880 = [2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0] pubkeycol881 = [0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0] pubkeycol882 = [0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol883 = [1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol884 = [2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol885 = [1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol886 = [2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol887 = [1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol888 = [2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol889 = [1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol890 = [2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol891 = [1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0] pubkeycol892 = [0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol893 = [2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol894 = [0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1] pubkeycol895 = [1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol896 = [0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol897 = [0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2] pubkeycol898 = [1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol899 = [2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol900 = [0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1] pubkeycol901 = [2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2] pubkeycol902 = [1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol903 = [0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2] pubkeycol904 = [0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol905 = [2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol906 = [0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol907 = [2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol908 = [2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2] pubkeycol909 = [0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol910 = [1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol911 = [1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1] pubkeycol912 = [2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol913 = [2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol914 = [2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol915 = [1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol916 = [0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0] pubkeycol917 = [0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol918 = [1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol919 = [2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol920 = [1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol921 = [2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol922 = [2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol923 = [0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol924 = [0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol925 = [1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol926 = [0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1] pubkeycol927 = [1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol928 = [0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2] pubkeycol929 = [1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol930 = [0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol931 = [0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol932 = [1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol933 = [2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol934 = [2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol935 = [0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol936 = [1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol937 = [2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol938 = [0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2] pubkeycol939 = [1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0] pubkeycol940 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2] pubkeycol941 = [2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol942 = [1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol943 = [2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol944 = [1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol945 = [1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol946 = [0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol947 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol948 = [1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol949 = [1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol950 = [2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol951 = [2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0] pubkeycol952 = [2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol953 = [1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0] pubkeycol954 = [1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1] pubkeycol955 = [0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol956 = [0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1] pubkeycol957 = [2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol958 = [1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol959 = [1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol960 = [2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1] pubkeycol961 = [2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1] pubkeycol962 = [0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0] pubkeycol963 = [1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol964 = [0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2] pubkeycol965 = [2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol966 = [1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol967 = [0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol968 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol969 = [1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol970 = [1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol971 = [0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0] pubkeycol972 = [2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2] pubkeycol973 = [0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol974 = [2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1] pubkeycol975 = [1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol976 = [2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol977 = [1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0] pubkeycol978 = [1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol979 = [1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol980 = [2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2] pubkeycol981 = [1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol982 = [2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol983 = [2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol984 = [0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol985 = [1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1] pubkeycol986 = [0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol987 = [0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2] pubkeycol988 = [0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol989 = [2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0] pubkeycol990 = [2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol991 = [0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol992 = [0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1] pubkeycol993 = [1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol994 = [1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0] pubkeycol995 = [2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2] pubkeycol996 = [1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2] pubkeycol997 = [2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0] pubkeycol998 = [1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol999 = [1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol1000 = [2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1] pubkeycol1001 = [1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol1002 = [2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1] pubkeycol1003 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol1004 = [1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol1005 = [2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol1006 = [1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2] pubkeycol1007 = [2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol1008 = [0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2] pubkeycol1009 = [2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol1010 = [2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol1011 = [0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol1012 = [1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol1013 = [2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2] pubkeycol1014 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0] pubkeycol1015 = [0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol1016 = [1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol1017 = [2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol1018 = [2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol1019 = [1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1020 = [2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol1021 = [2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol1022 = [1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol1023 = [0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol1024 = [1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol1025 = [2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0] pubkeycol1026 = [1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol1027 = [1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol1028 = [1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol1029 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol1030 = [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1] pubkeycol1031 = [2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol1032 = [2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol1033 = [2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0] pubkeycol1034 = [1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol1035 = [2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol1036 = [2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol1037 = [0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2] pubkeycol1038 = [0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol1039 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol1040 = [0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol1041 = [2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol1042 = [0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1] pubkeycol1043 = [2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0] pubkeycol1044 = [2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2] pubkeycol1045 = [1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2] pubkeycol1046 = [2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0] pubkeycol1047 = [1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol1048 = [0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol1049 = [2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol1050 = [2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol1051 = [1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol1052 = [0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0] pubkeycol1053 = [1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol1054 = [0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol1055 = [1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol1056 = [0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol1057 = [0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol1058 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0] pubkeycol1059 = [0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2] pubkeycol1060 = [2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol1061 = [2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol1062 = [0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol1063 = [0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2] pubkeycol1064 = [1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol1065 = [0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1] pubkeycol1066 = [1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1] pubkeycol1067 = [0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol1068 = [0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol1069 = [2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1] pubkeycol1070 = [2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol1071 = [2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol1072 = [1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1] pubkeycol1073 = [0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2] pubkeycol1074 = [2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol1075 = [1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2] pubkeycol1076 = [0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol1077 = [2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol1078 = [2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1] pubkeycol1079 = [2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol1080 = [2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol1081 = [1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol1082 = [1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol1083 = [1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol1084 = [2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol1085 = [2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol1086 = [0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1] pubkeycol1087 = [1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol1088 = [0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol1089 = [1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol1090 = [0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol1091 = [2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol1092 = [2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0] pubkeycol1093 = [2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1] pubkeycol1094 = [0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol1095 = [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol1096 = [2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2] pubkeycol1097 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol1098 = [1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol1099 = [0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol1100 = [2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol1101 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol1102 = [0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol1103 = [2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol1104 = [0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol1105 = [1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol1106 = [2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol1107 = [0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1]