kilobytes = 43.3821571974732 q = 3 m = 7 n = 1036 s = 0 t = 22 u = 44 k = 728 w = 33 ciphertext = [0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2] recovered_plaintext_using_secret_key = True pubkeycol308 = [0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol309 = [0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol310 = [2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol311 = [0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol312 = [1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2] pubkeycol313 = [2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0] pubkeycol314 = [2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol315 = [1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2] pubkeycol316 = [2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol317 = [2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol318 = [0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1] pubkeycol319 = [0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol320 = [1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol321 = [1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol322 = [1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0] pubkeycol323 = [2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2] pubkeycol324 = [1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol325 = [1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol326 = [1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol327 = [1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol328 = [1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol329 = [0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol330 = [1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol331 = [2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol332 = [0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol333 = [0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0] pubkeycol334 = [1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2] pubkeycol335 = [2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol336 = [2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol337 = [1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0] pubkeycol338 = [2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol339 = [2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0] pubkeycol340 = [2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol341 = [2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol342 = [0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol343 = [0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol344 = [0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol345 = [2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol346 = [0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol347 = [0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1] pubkeycol348 = [0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol349 = [0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2] pubkeycol350 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol351 = [1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol352 = [2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0] pubkeycol353 = [2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2] pubkeycol354 = [1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1] pubkeycol355 = [2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol356 = [1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol357 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol358 = [2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0] pubkeycol359 = [1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol360 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol361 = [0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol362 = [1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0] pubkeycol363 = [2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol364 = [1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol365 = [1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol366 = [2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol367 = [0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1] pubkeycol368 = [0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2] pubkeycol369 = [1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol370 = [2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol371 = [2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1] pubkeycol372 = [1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol373 = [1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol374 = [0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol375 = [2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0] pubkeycol376 = [0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol377 = [0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0] pubkeycol378 = [1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol379 = [0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol380 = [1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol381 = [2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol382 = [1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol383 = [2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2] pubkeycol384 = [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol385 = [1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol386 = [0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol387 = [0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol388 = [0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol389 = [2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol390 = [0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol391 = [2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol392 = [0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1] pubkeycol393 = [1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol394 = [0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol395 = [2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol396 = [0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2] pubkeycol397 = [2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol398 = [1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol399 = [2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2] pubkeycol400 = [2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol401 = [1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol402 = [2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol403 = [0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol404 = [1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol405 = [0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1] pubkeycol406 = [1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0] pubkeycol407 = [2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0] pubkeycol408 = [2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol409 = [2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol410 = [1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2] pubkeycol411 = [1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol412 = [1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol413 = [0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol414 = [2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1] pubkeycol415 = [1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol416 = [0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0] pubkeycol417 = [1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol418 = [2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol419 = [0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1] pubkeycol420 = [1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol421 = [2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol422 = [2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol423 = [1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol424 = [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol425 = [2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol426 = [1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol427 = [2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1] pubkeycol428 = [0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol429 = [2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol430 = [1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2] pubkeycol431 = [1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0] pubkeycol432 = [0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol433 = [2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0] pubkeycol434 = [1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol435 = [1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2] pubkeycol436 = [0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol437 = [1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol438 = [1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2] pubkeycol439 = [2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol440 = [0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0] pubkeycol441 = [2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol442 = [0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol443 = [2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1] pubkeycol444 = [2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol445 = [0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol446 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2] pubkeycol447 = [2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0] pubkeycol448 = [0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol449 = [0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol450 = [2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1] pubkeycol451 = [2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol452 = [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol453 = [0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol454 = [2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol455 = [0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol456 = [0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol457 = [2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol458 = [1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol459 = [0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol460 = [0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0] pubkeycol461 = [2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2] pubkeycol462 = [0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol463 = [1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol464 = [2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol465 = [1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0] pubkeycol466 = [1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2] pubkeycol467 = [0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2] pubkeycol468 = [0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol469 = [0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol470 = [1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol471 = [1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol472 = [2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol473 = [0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol474 = [1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1] pubkeycol475 = [1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol476 = [0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol477 = [1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol478 = [1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2] pubkeycol479 = [2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol480 = [2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1] pubkeycol481 = [1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2] pubkeycol482 = [2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol483 = [1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2] pubkeycol484 = [0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol485 = [2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol486 = [1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol487 = [1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol488 = [0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1] pubkeycol489 = [0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2] pubkeycol490 = [1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol491 = [0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2] pubkeycol492 = [0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0] pubkeycol493 = [0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol494 = [0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol495 = [0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol496 = [0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol497 = [0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol498 = [2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol499 = [0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol500 = [1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol501 = [1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2] pubkeycol502 = [1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1] pubkeycol503 = [1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol504 = [2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2] pubkeycol505 = [1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1] pubkeycol506 = [0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0] pubkeycol507 = [0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol508 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol509 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol510 = [0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol511 = [1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0] pubkeycol512 = [2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0] pubkeycol513 = [2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol514 = [2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2] pubkeycol515 = [0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol516 = [0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol517 = [2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol518 = [2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol519 = [2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol520 = [1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol521 = [1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2] pubkeycol522 = [2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol523 = [2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0] pubkeycol524 = [1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol525 = [0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol526 = [1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1] pubkeycol527 = [1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol528 = [0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0] pubkeycol529 = [1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol530 = [0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol531 = [0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol532 = [1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol533 = [1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol534 = [1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0] pubkeycol535 = [0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol536 = [1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol537 = [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol538 = [2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol539 = [2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol540 = [1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1] pubkeycol541 = [0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol542 = [0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol543 = [2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol544 = [0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol545 = [2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol546 = [2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol547 = [2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0] pubkeycol548 = [1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0] pubkeycol549 = [2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol550 = [0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0] pubkeycol551 = [2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1] pubkeycol552 = [0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2] pubkeycol553 = [0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2] pubkeycol554 = [0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1] pubkeycol555 = [2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0] pubkeycol556 = [0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol557 = [2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol558 = [2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol559 = [1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol560 = [1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol561 = [2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol562 = [1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol563 = [0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol564 = [1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol565 = [1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol566 = [0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol567 = [2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol568 = [0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol569 = [0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2] pubkeycol570 = [1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol571 = [1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol572 = [0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1] pubkeycol573 = [2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol574 = [2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol575 = [1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2] pubkeycol576 = [1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0] pubkeycol577 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol578 = [0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol579 = [2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol580 = [2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol581 = [1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol582 = [1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol583 = [2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1] pubkeycol584 = [0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1] pubkeycol585 = [2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol586 = [2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol587 = [0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2] pubkeycol588 = [1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol589 = [0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol590 = [0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol591 = [1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol592 = [0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol593 = [2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol594 = [0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0] pubkeycol595 = [0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol596 = [1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol597 = [0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0] pubkeycol598 = [2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol599 = [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol600 = [1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol601 = [0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2] pubkeycol602 = [0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0] pubkeycol603 = [0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol604 = [1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0] pubkeycol605 = [0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol606 = [2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0] pubkeycol607 = [1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol608 = [1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0] pubkeycol609 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol610 = [1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol611 = [2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0] pubkeycol612 = [2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1] pubkeycol613 = [1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2] pubkeycol614 = [1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1] pubkeycol615 = [0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2] pubkeycol616 = [2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1] pubkeycol617 = [0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol618 = [2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol619 = [2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol620 = [1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol621 = [2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol622 = [1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol623 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol624 = [2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol625 = [2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol626 = [0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol627 = [2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1] pubkeycol628 = [2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol629 = [1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol630 = [2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol631 = [1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1] pubkeycol632 = [0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol633 = [1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2] pubkeycol634 = [0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol635 = [1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol636 = [0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2] pubkeycol637 = [1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol638 = [0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol639 = [0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1] pubkeycol640 = [1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol641 = [0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2] pubkeycol642 = [1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol643 = [1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol644 = [0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol645 = [0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1] pubkeycol646 = [2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0] pubkeycol647 = [0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2] pubkeycol648 = [2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol649 = [0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1] pubkeycol650 = [0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol651 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2] pubkeycol652 = [0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol653 = [1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol654 = [1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2] pubkeycol655 = [2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol656 = [2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol657 = [1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol658 = [2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol659 = [1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1] pubkeycol660 = [0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0] pubkeycol661 = [2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol662 = [2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol663 = [2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2] pubkeycol664 = [2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol665 = [2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol666 = [1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol667 = [0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol668 = [1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2] pubkeycol669 = [2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2] pubkeycol670 = [2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol671 = [2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol672 = [0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol673 = [1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2] pubkeycol674 = [2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol675 = [1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1] pubkeycol676 = [0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0] pubkeycol677 = [2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol678 = [0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol679 = [1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol680 = [2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol681 = [0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol682 = [2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0] pubkeycol683 = [0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol684 = [0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol685 = [2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol686 = [0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol687 = [0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol688 = [1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol689 = [0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1] pubkeycol690 = [2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2] pubkeycol691 = [1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol692 = [1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol693 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol694 = [1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol695 = [0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol696 = [0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol697 = [0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2] pubkeycol698 = [1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol699 = [0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol700 = [1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol701 = [1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol702 = [0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2] pubkeycol703 = [2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol704 = [2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol705 = [2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol706 = [0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0] pubkeycol707 = [2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol708 = [2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol709 = [1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol710 = [1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1] pubkeycol711 = [1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0] pubkeycol712 = [0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol713 = [0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol714 = [1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol715 = [0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol716 = [0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol717 = [1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol718 = [1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol719 = [0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol720 = [2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol721 = [2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1] pubkeycol722 = [0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1] pubkeycol723 = [0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol724 = [0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol725 = [2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol726 = [1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0] pubkeycol727 = [1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1] pubkeycol728 = [0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2] pubkeycol729 = [2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol730 = [2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1] pubkeycol731 = [2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1] pubkeycol732 = [1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol733 = [2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2] pubkeycol734 = [0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol735 = [0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol736 = [2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol737 = [0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol738 = [1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol739 = [2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol740 = [1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol741 = [2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol742 = [2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol743 = [1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2] pubkeycol744 = [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0] pubkeycol745 = [0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0] pubkeycol746 = [1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0] pubkeycol747 = [0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1] pubkeycol748 = [2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0] pubkeycol749 = [1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol750 = [2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol751 = [1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol752 = [2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0] pubkeycol753 = [1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol754 = [0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1] pubkeycol755 = [2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol756 = [1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0] pubkeycol757 = [1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1] pubkeycol758 = [1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol759 = [0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0] pubkeycol760 = [2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol761 = [2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol762 = [1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol763 = [2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1] pubkeycol764 = [0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1] pubkeycol765 = [2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol766 = [1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol767 = [2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol768 = [0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol769 = [2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2] pubkeycol770 = [2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0] pubkeycol771 = [0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol772 = [0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0] pubkeycol773 = [2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol774 = [1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0] pubkeycol775 = [2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol776 = [0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol777 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1] pubkeycol778 = [0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol779 = [2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol780 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol781 = [1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol782 = [0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2] pubkeycol783 = [2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1] pubkeycol784 = [1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol785 = [1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol786 = [0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol787 = [1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2] pubkeycol788 = [2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol789 = [0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol790 = [0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol791 = [1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol792 = [0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol793 = [1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2] pubkeycol794 = [0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol795 = [0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol796 = [2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol797 = [0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol798 = [1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0] pubkeycol799 = [0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0] pubkeycol800 = [2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol801 = [0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol802 = [0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol803 = [0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol804 = [2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol805 = [1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2] pubkeycol806 = [0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2] pubkeycol807 = [1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol808 = [1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol809 = [1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol810 = [0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol811 = [1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol812 = [1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol813 = [1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0] pubkeycol814 = [1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol815 = [2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol816 = [1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol817 = [2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol818 = [1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol819 = [0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol820 = [0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol821 = [2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1] pubkeycol822 = [1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol823 = [2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol824 = [1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2] pubkeycol825 = [1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol826 = [2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol827 = [1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol828 = [2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0] pubkeycol829 = [0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol830 = [0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol831 = [1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol832 = [0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol833 = [2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol834 = [0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol835 = [1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol836 = [1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1] pubkeycol837 = [1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0] pubkeycol838 = [0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2] pubkeycol839 = [0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol840 = [2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2] pubkeycol841 = [2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0] pubkeycol842 = [0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol843 = [2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol844 = [1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol845 = [2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol846 = [1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol847 = [0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol848 = [2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol849 = [2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2] pubkeycol850 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol851 = [0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0] pubkeycol852 = [0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol853 = [1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2] pubkeycol854 = [0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol855 = [1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol856 = [0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0] pubkeycol857 = [0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2] pubkeycol858 = [0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol859 = [2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol860 = [0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0] pubkeycol861 = [1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol862 = [0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol863 = [0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol864 = [1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol865 = [2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol866 = [2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0] pubkeycol867 = [0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol868 = [0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol869 = [0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol870 = [0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol871 = [2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1] pubkeycol872 = [2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol873 = [1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol874 = [0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol875 = [1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol876 = [1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0] pubkeycol877 = [1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol878 = [2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol879 = [2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol880 = [1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol881 = [1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol882 = [2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol883 = [2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0] pubkeycol884 = [0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol885 = [0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0] pubkeycol886 = [1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol887 = [2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0] pubkeycol888 = [0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol889 = [1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol890 = [2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0] pubkeycol891 = [0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol892 = [1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1] pubkeycol893 = [1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol894 = [1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol895 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol896 = [2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2] pubkeycol897 = [1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol898 = [0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol899 = [2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol900 = [0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol901 = [2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol902 = [1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol903 = [2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol904 = [1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol905 = [1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol906 = [2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol907 = [1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2] pubkeycol908 = [2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol909 = [0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2] pubkeycol910 = [2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol911 = [0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0] pubkeycol912 = [1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1] pubkeycol913 = [1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol914 = [0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol915 = [2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol916 = [1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol917 = [2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol918 = [0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0] pubkeycol919 = [2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol920 = [2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol921 = [0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol922 = [2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol923 = [1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol924 = [0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol925 = [2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0] pubkeycol926 = [2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0] pubkeycol927 = [0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol928 = [0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol929 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol930 = [0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol931 = [1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1] pubkeycol932 = [0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol933 = [0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol934 = [0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0] pubkeycol935 = [2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1] pubkeycol936 = [2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol937 = [0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol938 = [2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol939 = [1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol940 = [1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol941 = [0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol942 = [0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol943 = [0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol944 = [2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol945 = [2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1] pubkeycol946 = [0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol947 = [1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol948 = [2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2] pubkeycol949 = [0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2] pubkeycol950 = [2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol951 = [2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2] pubkeycol952 = [2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2] pubkeycol953 = [1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2] pubkeycol954 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol955 = [1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol956 = [2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol957 = [1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1] pubkeycol958 = [2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2] pubkeycol959 = [2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2] pubkeycol960 = [1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol961 = [0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol962 = [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol963 = [1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol964 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1] pubkeycol965 = [1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol966 = [0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol967 = [1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol968 = [1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2] pubkeycol969 = [2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol970 = [1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol971 = [1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol972 = [2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol973 = [1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol974 = [0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1] pubkeycol975 = [0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol976 = [2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol977 = [0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2] pubkeycol978 = [2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0] pubkeycol979 = [0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol980 = [0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol981 = [0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol982 = [2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol983 = [0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol984 = [0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol985 = [2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2] pubkeycol986 = [2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol987 = [2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1] pubkeycol988 = [1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol989 = [2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol990 = [0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol991 = [2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol992 = [1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol993 = [2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol994 = [0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol995 = [2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol996 = [1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2] pubkeycol997 = [1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1] pubkeycol998 = [1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol999 = [1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol1000 = [1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol1001 = [1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol1002 = [1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol1003 = [0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0] pubkeycol1004 = [0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2] pubkeycol1005 = [0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol1006 = [2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0] pubkeycol1007 = [1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol1008 = [2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol1009 = [2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1] pubkeycol1010 = [1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol1011 = [2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol1012 = [1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol1013 = [1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol1014 = [2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol1015 = [1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol1016 = [2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol1017 = [0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol1018 = [1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2] pubkeycol1019 = [1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol1020 = [0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol1021 = [2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol1022 = [0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol1023 = [1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol1024 = [2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol1025 = [2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol1026 = [0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0] pubkeycol1027 = [1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol1028 = [2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol1029 = [2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2] pubkeycol1030 = [1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1] pubkeycol1031 = [2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0] pubkeycol1032 = [1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol1033 = [1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol1034 = [0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol1035 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1]