kilobytes = 53.6317877441290 q = 3 m = 7 n = 1208 s = 0 t = 22 u = 44 k = 900 w = 33 ciphertext = [1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1] recovered_plaintext_using_secret_key = True pubkeycol308 = [1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol309 = [2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol310 = [2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2] pubkeycol311 = [0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol312 = [0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol313 = [0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol314 = [2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol315 = [2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol316 = [0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol317 = [0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol318 = [0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol319 = [2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol320 = [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1] pubkeycol321 = [2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2] pubkeycol322 = [0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0] pubkeycol323 = [2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol324 = [1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol325 = [2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0] pubkeycol326 = [0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol327 = [2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol328 = [1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol329 = [1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol330 = [1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol331 = [0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol332 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol333 = [0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol334 = [1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol335 = [2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1] pubkeycol336 = [0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1] pubkeycol337 = [1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1] pubkeycol338 = [2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol339 = [2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol340 = [2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol341 = [1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol342 = [1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol343 = [0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol344 = [1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol345 = [1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol346 = [0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol347 = [0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0] pubkeycol348 = [0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2] pubkeycol349 = [2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol350 = [1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol351 = [2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol352 = [0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol353 = [1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol354 = [1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2] pubkeycol355 = [0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1] pubkeycol356 = [0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol357 = [0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol358 = [0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol359 = [2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol360 = [1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol361 = [0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol362 = [2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol363 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol364 = [1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol365 = [2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol366 = [1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0] pubkeycol367 = [0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol368 = [2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol369 = [1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol370 = [0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol371 = [2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol372 = [1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1] pubkeycol373 = [0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0] pubkeycol374 = [0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol375 = [1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1] pubkeycol376 = [0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol377 = [2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol378 = [0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol379 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol380 = [0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol381 = [0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2] pubkeycol382 = [0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1] pubkeycol383 = [1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol384 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol385 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol386 = [2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol387 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol388 = [2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol389 = [2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol390 = [2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol391 = [1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol392 = [0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2] pubkeycol393 = [0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol394 = [1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol395 = [1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol396 = [1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol397 = [2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol398 = [1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol399 = [1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol400 = [0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1] pubkeycol401 = [2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol402 = [2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol403 = [1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol404 = [1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol405 = [0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol406 = [0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol407 = [2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol408 = [0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol409 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol410 = [1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol411 = [0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0] pubkeycol412 = [2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol413 = [2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol414 = [0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol415 = [2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol416 = [2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2] pubkeycol417 = [1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol418 = [2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1] pubkeycol419 = [1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol420 = [2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol421 = [0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol422 = [2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol423 = [1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol424 = [0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol425 = [1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1] pubkeycol426 = [0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2] pubkeycol427 = [0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol428 = [1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0] pubkeycol429 = [2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1] pubkeycol430 = [1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol431 = [1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol432 = [1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2] pubkeycol433 = [1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0] pubkeycol434 = [0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol435 = [2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol436 = [1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol437 = [1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1] pubkeycol438 = [0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol439 = [2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2] pubkeycol440 = [0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol441 = [1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2] pubkeycol442 = [2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol443 = [2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2] pubkeycol444 = [0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol445 = [2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol446 = [1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol447 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol448 = [0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol449 = [0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol450 = [1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol451 = [2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol452 = [0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2] pubkeycol453 = [1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol454 = [2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol455 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol456 = [0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol457 = [0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol458 = [0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol459 = [0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol460 = [1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol461 = [1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol462 = [1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol463 = [0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol464 = [0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol465 = [2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol466 = [1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol467 = [2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol468 = [2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2] pubkeycol469 = [2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0] pubkeycol470 = [0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1] pubkeycol471 = [0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1] pubkeycol472 = [2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol473 = [0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol474 = [0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1] pubkeycol475 = [0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol476 = [1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0] pubkeycol477 = [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol478 = [2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol479 = [0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol480 = [2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol481 = [0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1] pubkeycol482 = [2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol483 = [2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol484 = [1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1] pubkeycol485 = [2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol486 = [1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol487 = [0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol488 = [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol489 = [0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2] pubkeycol490 = [0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol491 = [0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol492 = [0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0] pubkeycol493 = [0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol494 = [2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2] pubkeycol495 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol496 = [2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol497 = [0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol498 = [0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol499 = [2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol500 = [1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol501 = [2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol502 = [0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol503 = [1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1] pubkeycol504 = [2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol505 = [2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol506 = [2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol507 = [0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol508 = [0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2] pubkeycol509 = [0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol510 = [1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2] pubkeycol511 = [2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0] pubkeycol512 = [0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol513 = [0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0] pubkeycol514 = [0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol515 = [0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol516 = [0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol517 = [2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2] pubkeycol518 = [2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol519 = [0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol520 = [2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1] pubkeycol521 = [2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol522 = [2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol523 = [1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol524 = [2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1] pubkeycol525 = [1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol526 = [0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol527 = [1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1] pubkeycol528 = [2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol529 = [1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1] pubkeycol530 = [0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol531 = [0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol532 = [2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol533 = [0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol534 = [2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol535 = [2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2] pubkeycol536 = [0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol537 = [0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol538 = [0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1] pubkeycol539 = [1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol540 = [0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol541 = [0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol542 = [0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol543 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol544 = [1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol545 = [0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2] pubkeycol546 = [1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol547 = [2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0] pubkeycol548 = [2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2] pubkeycol549 = [0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol550 = [0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol551 = [1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol552 = [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol553 = [0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0] pubkeycol554 = [0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1] pubkeycol555 = [1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol556 = [2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol557 = [1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2] pubkeycol558 = [2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0] pubkeycol559 = [2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1] pubkeycol560 = [0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol561 = [2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol562 = [1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol563 = [0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol564 = [0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol565 = [1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol566 = [1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol567 = [2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol568 = [0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol569 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0] pubkeycol570 = [2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol571 = [2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol572 = [0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol573 = [1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol574 = [2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol575 = [0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol576 = [0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2] pubkeycol577 = [1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0] pubkeycol578 = [1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol579 = [2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0] pubkeycol580 = [2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol581 = [0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1] pubkeycol582 = [0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol583 = [1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1] pubkeycol584 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol585 = [1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol586 = [0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol587 = [0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1] pubkeycol588 = [1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0] pubkeycol589 = [2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0] pubkeycol590 = [1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol591 = [2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1] pubkeycol592 = [2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol593 = [0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2] pubkeycol594 = [2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol595 = [1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0] pubkeycol596 = [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2] pubkeycol597 = [1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol598 = [0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol599 = [2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol600 = [0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol601 = [2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0] pubkeycol602 = [2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol603 = [2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol604 = [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol605 = [1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol606 = [1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol607 = [0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2] pubkeycol608 = [2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol609 = [2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol610 = [0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol611 = [1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol612 = [2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0] pubkeycol613 = [1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol614 = [1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol615 = [2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2] pubkeycol616 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol617 = [0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol618 = [1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol619 = [1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol620 = [2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol621 = [1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol622 = [1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol623 = [1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol624 = [1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0] pubkeycol625 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol626 = [0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol627 = [1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2] pubkeycol628 = [2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol629 = [1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol630 = [1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol631 = [0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1] pubkeycol632 = [0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol633 = [1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0] pubkeycol634 = [2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol635 = [1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1] pubkeycol636 = [0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol637 = [2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol638 = [0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0] pubkeycol639 = [1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol640 = [2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol641 = [2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol642 = [1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2] pubkeycol643 = [0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2] pubkeycol644 = [1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0] pubkeycol645 = [1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol646 = [0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol647 = [0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol648 = [0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol649 = [2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol650 = [1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol651 = [2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol652 = [1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1] pubkeycol653 = [2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol654 = [1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol655 = [1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol656 = [1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0] pubkeycol657 = [0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol658 = [0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol659 = [1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol660 = [1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol661 = [2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2] pubkeycol662 = [1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol663 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol664 = [1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol665 = [1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol666 = [1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1] pubkeycol667 = [2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol668 = [0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol669 = [2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol670 = [0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol671 = [0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol672 = [0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0] pubkeycol673 = [1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1] pubkeycol674 = [1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1] pubkeycol675 = [0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol676 = [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol677 = [1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol678 = [1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol679 = [1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol680 = [0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1] pubkeycol681 = [0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol682 = [2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol683 = [0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2] pubkeycol684 = [1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol685 = [1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol686 = [0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol687 = [2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2] pubkeycol688 = [0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2] pubkeycol689 = [2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol690 = [1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol691 = [1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1] pubkeycol692 = [1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol693 = [2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol694 = [2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2] pubkeycol695 = [0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol696 = [0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol697 = [1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol698 = [1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1] pubkeycol699 = [2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1] pubkeycol700 = [1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0] pubkeycol701 = [0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol702 = [1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol703 = [1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol704 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol705 = [2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2] pubkeycol706 = [1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol707 = [0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol708 = [2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol709 = [1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0] pubkeycol710 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol711 = [1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol712 = [1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol713 = [2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0] pubkeycol714 = [1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol715 = [1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2] pubkeycol716 = [2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol717 = [1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol718 = [2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol719 = [0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0] pubkeycol720 = [2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol721 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol722 = [2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol723 = [1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol724 = [0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol725 = [2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol726 = [2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol727 = [2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol728 = [1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1] pubkeycol729 = [0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2] pubkeycol730 = [0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol731 = [0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol732 = [0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2] pubkeycol733 = [1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2] pubkeycol734 = [2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol735 = [2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1] pubkeycol736 = [2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol737 = [1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol738 = [0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol739 = [1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol740 = [2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol741 = [0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol742 = [0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol743 = [1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol744 = [1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol745 = [2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol746 = [0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol747 = [1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2] pubkeycol748 = [1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol749 = [0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol750 = [1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol751 = [1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol752 = [1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol753 = [2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1] pubkeycol754 = [0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol755 = [0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol756 = [1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2] pubkeycol757 = [1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1] pubkeycol758 = [2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1] pubkeycol759 = [1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol760 = [1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol761 = [0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol762 = [1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol763 = [1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol764 = [1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol765 = [2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol766 = [1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol767 = [0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol768 = [0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol769 = [1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1] pubkeycol770 = [0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1] pubkeycol771 = [1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2] pubkeycol772 = [2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol773 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0] pubkeycol774 = [0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol775 = [2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol776 = [0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol777 = [2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol778 = [0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol779 = [2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol780 = [2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol781 = [0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0] pubkeycol782 = [0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol783 = [1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1] pubkeycol784 = [2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol785 = [2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol786 = [2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0] pubkeycol787 = [1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1] pubkeycol788 = [1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol789 = [1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol790 = [0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0] pubkeycol791 = [1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol792 = [2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol793 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0] pubkeycol794 = [1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol795 = [2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol796 = [1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol797 = [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1] pubkeycol798 = [2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol799 = [0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol800 = [0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol801 = [1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol802 = [2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2] pubkeycol803 = [1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2] pubkeycol804 = [0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0] pubkeycol805 = [2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1] pubkeycol806 = [2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol807 = [0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0] pubkeycol808 = [1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol809 = [0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol810 = [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol811 = [2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol812 = [1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1] pubkeycol813 = [1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol814 = [2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol815 = [0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol816 = [1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2] pubkeycol817 = [2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1] pubkeycol818 = [0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol819 = [1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol820 = [0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol821 = [2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol822 = [1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol823 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol824 = [1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol825 = [0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1] pubkeycol826 = [2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol827 = [1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol828 = [2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1] pubkeycol829 = [1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol830 = [1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1] pubkeycol831 = [1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol832 = [0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol833 = [1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol834 = [2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol835 = [0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol836 = [2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol837 = [2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol838 = [1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol839 = [2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol840 = [1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2] pubkeycol841 = [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol842 = [2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0] pubkeycol843 = [2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol844 = [2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol845 = [0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol846 = [1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol847 = [2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol848 = [0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol849 = [0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol850 = [2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2] pubkeycol851 = [0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol852 = [0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol853 = [0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol854 = [1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0] pubkeycol855 = [1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol856 = [0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol857 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2] pubkeycol858 = [0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2] pubkeycol859 = [2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol860 = [0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2] pubkeycol861 = [2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2] pubkeycol862 = [2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol863 = [0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol864 = [0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0] pubkeycol865 = [2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol866 = [1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol867 = [1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol868 = [2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1] pubkeycol869 = [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0] pubkeycol870 = [0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol871 = [2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol872 = [1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol873 = [0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol874 = [1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0] pubkeycol875 = [1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2] pubkeycol876 = [0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol877 = [0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0] pubkeycol878 = [2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol879 = [1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol880 = [0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol881 = [1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1] pubkeycol882 = [2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol883 = [1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1] pubkeycol884 = [2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol885 = [1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol886 = [0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol887 = [2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1] pubkeycol888 = [2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol889 = [1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol890 = [2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol891 = [1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0] pubkeycol892 = [1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol893 = [1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol894 = [1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol895 = [0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2] pubkeycol896 = [2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol897 = [1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol898 = [2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol899 = [2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1] pubkeycol900 = [2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0] pubkeycol901 = [0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol902 = [1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol903 = [0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol904 = [2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol905 = [0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1] pubkeycol906 = [1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1] pubkeycol907 = [0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1] pubkeycol908 = [0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2] pubkeycol909 = [1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol910 = [2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol911 = [1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol912 = [1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol913 = [0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol914 = [0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol915 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol916 = [2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol917 = [2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol918 = [1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol919 = [0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0] pubkeycol920 = [2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol921 = [2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2] pubkeycol922 = [2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol923 = [1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol924 = [1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol925 = [1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol926 = [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol927 = [1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol928 = [1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol929 = [2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol930 = [0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol931 = [0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol932 = [0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol933 = [0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol934 = [0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0] pubkeycol935 = [2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol936 = [0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol937 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2] pubkeycol938 = [2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol939 = [0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2] pubkeycol940 = [2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol941 = [1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol942 = [1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol943 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol944 = [0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol945 = [1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2] pubkeycol946 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol947 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol948 = [2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol949 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1] pubkeycol950 = [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol951 = [2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol952 = [1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol953 = [1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol954 = [0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol955 = [0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol956 = [1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol957 = [0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol958 = [0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol959 = [0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol960 = [2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol961 = [2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol962 = [0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2] pubkeycol963 = [1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol964 = [1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol965 = [2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol966 = [0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2] pubkeycol967 = [1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0] pubkeycol968 = [2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2] pubkeycol969 = [1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0] pubkeycol970 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0] pubkeycol971 = [1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol972 = [1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol973 = [1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol974 = [1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol975 = [0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol976 = [2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1] pubkeycol977 = [2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol978 = [1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0] pubkeycol979 = [2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1] pubkeycol980 = [0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2] pubkeycol981 = [1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol982 = [2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol983 = [0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol984 = [1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol985 = [2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol986 = [0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol987 = [0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol988 = [2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol989 = [2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol990 = [1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1] pubkeycol991 = [2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol992 = [0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol993 = [0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol994 = [1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0] pubkeycol995 = [0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol996 = [0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol997 = [0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol998 = [1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol999 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol1000 = [0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol1001 = [0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol1002 = [2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol1003 = [2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0] pubkeycol1004 = [0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2] pubkeycol1005 = [0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2] pubkeycol1006 = [2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2] pubkeycol1007 = [0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2] pubkeycol1008 = [2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol1009 = [1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol1010 = [1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1] pubkeycol1011 = [0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol1012 = [2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol1013 = [2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol1014 = [0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol1015 = [1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol1016 = [0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0] pubkeycol1017 = [1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol1018 = [1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol1019 = [1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol1020 = [0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1] pubkeycol1021 = [2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol1022 = [0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol1023 = [1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol1024 = [1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1] pubkeycol1025 = [1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1] pubkeycol1026 = [2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1] pubkeycol1027 = [0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol1028 = [2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol1029 = [0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol1030 = [2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0] pubkeycol1031 = [0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol1032 = [1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2] pubkeycol1033 = [1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol1034 = [1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0] pubkeycol1035 = [2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol1036 = [2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol1037 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol1038 = [1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol1039 = [1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol1040 = [2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2] pubkeycol1041 = [0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol1042 = [1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol1043 = [0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol1044 = [1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol1045 = [1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol1046 = [2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol1047 = [0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol1048 = [0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol1049 = [0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol1050 = [1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1] pubkeycol1051 = [0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol1052 = [1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol1053 = [0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol1054 = [0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1] pubkeycol1055 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol1056 = [2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol1057 = [0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2] pubkeycol1058 = [1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1] pubkeycol1059 = [1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol1060 = [0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2] pubkeycol1061 = [0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol1062 = [2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1] pubkeycol1063 = [1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol1064 = [2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol1065 = [1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2] pubkeycol1066 = [0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol1067 = [2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol1068 = [0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol1069 = [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2] pubkeycol1070 = [0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol1071 = [0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol1072 = [1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol1073 = [1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol1074 = [0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1] pubkeycol1075 = [2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol1076 = [0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol1077 = [0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol1078 = [1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2] pubkeycol1079 = [1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2] pubkeycol1080 = [1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol1081 = [2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2] pubkeycol1082 = [1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2] pubkeycol1083 = [2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol1084 = [1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol1085 = [0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol1086 = [2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol1087 = [1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol1088 = [2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol1089 = [0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1] pubkeycol1090 = [2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0] pubkeycol1091 = [1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol1092 = [0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol1093 = [0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol1094 = [1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol1095 = [0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol1096 = [1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol1097 = [0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol1098 = [1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0] pubkeycol1099 = [0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol1100 = [2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol1101 = [1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2] pubkeycol1102 = [2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2] pubkeycol1103 = [0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol1104 = [0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol1105 = [1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0] pubkeycol1106 = [0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol1107 = [0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2] pubkeycol1108 = [1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol1109 = [1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol1110 = [1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol1111 = [2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol1112 = [0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0] pubkeycol1113 = [1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol1114 = [2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0] pubkeycol1115 = [2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol1116 = [1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol1117 = [1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol1118 = [1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol1119 = [2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol1120 = [2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol1121 = [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol1122 = [1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0] pubkeycol1123 = [2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol1124 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol1125 = [2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol1126 = [0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol1127 = [1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol1128 = [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0] pubkeycol1129 = [0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol1130 = [2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1] pubkeycol1131 = [1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol1132 = [1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1] pubkeycol1133 = [2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0] pubkeycol1134 = [0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2] pubkeycol1135 = [0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol1136 = [2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0] pubkeycol1137 = [2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0] pubkeycol1138 = [0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol1139 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1] pubkeycol1140 = [2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol1141 = [2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol1142 = [1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0] pubkeycol1143 = [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol1144 = [1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0] pubkeycol1145 = [1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol1146 = [0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0] pubkeycol1147 = [2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol1148 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2] pubkeycol1149 = [2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol1150 = [1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol1151 = [2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol1152 = [0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol1153 = [1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol1154 = [2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol1155 = [1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2] pubkeycol1156 = [1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol1157 = [2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1] pubkeycol1158 = [0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol1159 = [0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1] pubkeycol1160 = [2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol1161 = [2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol1162 = [0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol1163 = [2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol1164 = [1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol1165 = [1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol1166 = [1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol1167 = [2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol1168 = [0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol1169 = [1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol1170 = [0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol1171 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol1172 = [1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol1173 = [0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0] pubkeycol1174 = [2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol1175 = [1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2] pubkeycol1176 = [0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol1177 = [0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2] pubkeycol1178 = [2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol1179 = [2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol1180 = [1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol1181 = [2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1] pubkeycol1182 = [1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol1183 = [0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1] pubkeycol1184 = [1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol1185 = [1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol1186 = [0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol1187 = [0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol1188 = [2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol1189 = [2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol1190 = [0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2] pubkeycol1191 = [2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol1192 = [1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol1193 = [1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol1194 = [1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0] pubkeycol1195 = [2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol1196 = [0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol1197 = [0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0] pubkeycol1198 = [0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0] pubkeycol1199 = [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol1200 = [2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol1201 = [1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol1202 = [1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol1203 = [0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0] pubkeycol1204 = [2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol1205 = [2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol1206 = [0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0] pubkeycol1207 = [2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1]