kilobytes = 99.9609845913806 q = 3 m = 7 n = 1710 s = 0 t = 28 u = 56 k = 1318 w = 42 ciphertext = [2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2] recovered_plaintext_using_secret_key = True pubkeycol392 = [0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol393 = [2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol394 = [0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol395 = [2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1] pubkeycol396 = [0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2] pubkeycol397 = [0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1] pubkeycol398 = [2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol399 = [1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0] pubkeycol400 = [1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol401 = [1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol402 = [0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol403 = [1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1] pubkeycol404 = [2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol405 = [0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol406 = [0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol407 = [1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2] pubkeycol408 = [1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol409 = [2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1] pubkeycol410 = [1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol411 = [2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol412 = [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0] pubkeycol413 = [2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol414 = [1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1] pubkeycol415 = [1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0] pubkeycol416 = [0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol417 = [2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol418 = [1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol419 = [2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2] pubkeycol420 = [0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol421 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol422 = [1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol423 = [2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol424 = [2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol425 = [0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol426 = [2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol427 = [2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol428 = [1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol429 = [0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2] pubkeycol430 = [1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol431 = [1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol432 = [1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2] pubkeycol433 = [1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol434 = [0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2] pubkeycol435 = [1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol436 = [1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol437 = [1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol438 = [2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2] pubkeycol439 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2] pubkeycol440 = [2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol441 = [0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol442 = [1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol443 = [0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol444 = [0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol445 = [2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol446 = [0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol447 = [1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol448 = [0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol449 = [0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol450 = [0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0] pubkeycol451 = [1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol452 = [2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol453 = [2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol454 = [1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol455 = [0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol456 = [1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2] pubkeycol457 = [1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2] pubkeycol458 = [1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1] pubkeycol459 = [0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol460 = [1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol461 = [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol462 = [1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol463 = [2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1] pubkeycol464 = [1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0] pubkeycol465 = [0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol466 = [1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol467 = [2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol468 = [1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol469 = [1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol470 = [2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol471 = [0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol472 = [0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1] pubkeycol473 = [2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2] pubkeycol474 = [0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol475 = [0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2] pubkeycol476 = [1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol477 = [0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol478 = [0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol479 = [0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol480 = [0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol481 = [0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol482 = [0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol483 = [2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol484 = [2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2] pubkeycol485 = [1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol486 = [1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol487 = [0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1] pubkeycol488 = [1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol489 = [1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1] pubkeycol490 = [1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol491 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1] pubkeycol492 = [1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol493 = [0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol494 = [0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol495 = [1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1] pubkeycol496 = [0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol497 = [2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1] pubkeycol498 = [2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0] pubkeycol499 = [0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0] pubkeycol500 = [0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol501 = [0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol502 = [2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2] pubkeycol503 = [1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2] pubkeycol504 = [2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol505 = [0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol506 = [0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2] pubkeycol507 = [1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol508 = [1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0] pubkeycol509 = [1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2] pubkeycol510 = [1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol511 = [2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol512 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol513 = [0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol514 = [0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol515 = [1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1] pubkeycol516 = [2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2] pubkeycol517 = [0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0] pubkeycol518 = [0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol519 = [0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2] pubkeycol520 = [0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0] pubkeycol521 = [2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol522 = [0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol523 = [2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol524 = [0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol525 = [2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol526 = [1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol527 = [1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol528 = [2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol529 = [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol530 = [1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1] pubkeycol531 = [2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol532 = [1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol533 = [2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol534 = [0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol535 = [0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol536 = [2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol537 = [0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol538 = [0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol539 = [2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol540 = [1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0] pubkeycol541 = [0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2] pubkeycol542 = [1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2] pubkeycol543 = [0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1] pubkeycol544 = [0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol545 = [0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol546 = [1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2] pubkeycol547 = [2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol548 = [2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol549 = [1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol550 = [2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol551 = [2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol552 = [2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol553 = [1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol554 = [2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol555 = [1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol556 = [2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol557 = [0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol558 = [2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol559 = [0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol560 = [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol561 = [0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol562 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol563 = [2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1] pubkeycol564 = [0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol565 = [0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol566 = [1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol567 = [0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2] pubkeycol568 = [1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1] pubkeycol569 = [0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol570 = [0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0] pubkeycol571 = [2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2] pubkeycol572 = [2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0] pubkeycol573 = [0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol574 = [1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0] pubkeycol575 = [0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol576 = [2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol577 = [0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol578 = [2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2] pubkeycol579 = [2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol580 = [0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol581 = [0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol582 = [2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol583 = [2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2] pubkeycol584 = [1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol585 = [2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol586 = [2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2] pubkeycol587 = [2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0] pubkeycol588 = [0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol589 = [1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol590 = [2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2] pubkeycol591 = [0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol592 = [0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol593 = [0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol594 = [1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0] pubkeycol595 = [2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1] pubkeycol596 = [1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0] pubkeycol597 = [1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol598 = [0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2] pubkeycol599 = [2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol600 = [0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol601 = [1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol602 = [0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol603 = [1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol604 = [1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol605 = [2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol606 = [2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol607 = [0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol608 = [0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1] pubkeycol609 = [1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2] pubkeycol610 = [0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol611 = [2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0] pubkeycol612 = [2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol613 = [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol614 = [1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2] pubkeycol615 = [2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol616 = [1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol617 = [2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol618 = [0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1] pubkeycol619 = [2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol620 = [2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0] pubkeycol621 = [2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2] pubkeycol622 = [2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol623 = [0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol624 = [2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol625 = [2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol626 = [1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol627 = [2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol628 = [0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol629 = [1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol630 = [2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1] pubkeycol631 = [0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol632 = [0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol633 = [2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2] pubkeycol634 = [2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol635 = [0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol636 = [2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol637 = [2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol638 = [2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol639 = [2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol640 = [0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol641 = [0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol642 = [2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0] pubkeycol643 = [1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2] pubkeycol644 = [1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2] pubkeycol645 = [2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0] pubkeycol646 = [0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol647 = [1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol648 = [1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol649 = [0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol650 = [1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol651 = [1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol652 = [1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol653 = [2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2] pubkeycol654 = [0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol655 = [0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol656 = [1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol657 = [1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2] pubkeycol658 = [1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0] pubkeycol659 = [1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol660 = [2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol661 = [2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol662 = [1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol663 = [1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol664 = [1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol665 = [0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1] pubkeycol666 = [1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1] pubkeycol667 = [0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol668 = [1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2] pubkeycol669 = [2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol670 = [1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0] pubkeycol671 = [0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol672 = [1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol673 = [1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1] pubkeycol674 = [2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol675 = [2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1] pubkeycol676 = [2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol677 = [0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol678 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1] pubkeycol679 = [0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol680 = [0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2] pubkeycol681 = [2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2] pubkeycol682 = [1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol683 = [0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0] pubkeycol684 = [1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol685 = [2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2] pubkeycol686 = [2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol687 = [1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol688 = [0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol689 = [0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1] pubkeycol690 = [2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol691 = [2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol692 = [2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol693 = [1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol694 = [2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1] pubkeycol695 = [1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2] pubkeycol696 = [2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol697 = [1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol698 = [1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol699 = [0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol700 = [2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2] pubkeycol701 = [2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol702 = [1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol703 = [0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol704 = [1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1] pubkeycol705 = [2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol706 = [0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0] pubkeycol707 = [0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0] pubkeycol708 = [2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0] pubkeycol709 = [2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0] pubkeycol710 = [0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol711 = [2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol712 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2] pubkeycol713 = [1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol714 = [0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol715 = [2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol716 = [1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol717 = [0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol718 = [2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol719 = [1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol720 = [0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1] pubkeycol721 = [2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol722 = [0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol723 = [0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol724 = [2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol725 = [2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2] pubkeycol726 = [2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2] pubkeycol727 = [2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2] pubkeycol728 = [1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol729 = [2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol730 = [2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1] pubkeycol731 = [0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0] pubkeycol732 = [1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2] pubkeycol733 = [0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol734 = [0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0] pubkeycol735 = [0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2] pubkeycol736 = [0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol737 = [0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1] pubkeycol738 = [0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2] pubkeycol739 = [0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol740 = [1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol741 = [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol742 = [2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol743 = [2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol744 = [0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2] pubkeycol745 = [2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2] pubkeycol746 = [0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol747 = [1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol748 = [2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol749 = [0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2] pubkeycol750 = [1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0] pubkeycol751 = [0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol752 = [1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol753 = [2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol754 = [0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0] pubkeycol755 = [1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol756 = [1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol757 = [2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol758 = [0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0] pubkeycol759 = [2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol760 = [0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol761 = [0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1] pubkeycol762 = [1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol763 = [2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1] pubkeycol764 = [1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol765 = [2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol766 = [2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2] pubkeycol767 = [2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol768 = [1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2] pubkeycol769 = [0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1] pubkeycol770 = [1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol771 = [1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol772 = [1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol773 = [0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol774 = [1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol775 = [0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2] pubkeycol776 = [1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol777 = [2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol778 = [1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2] pubkeycol779 = [2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol780 = [1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1] pubkeycol781 = [2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol782 = [2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol783 = [2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1] pubkeycol784 = [1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol785 = [2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol786 = [2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol787 = [2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol788 = [0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol789 = [0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0] pubkeycol790 = [0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol791 = [0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol792 = [0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2] pubkeycol793 = [1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol794 = [2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol795 = [0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol796 = [1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol797 = [2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol798 = [1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol799 = [1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2] pubkeycol800 = [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol801 = [2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol802 = [2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2] pubkeycol803 = [1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol804 = [0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol805 = [0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol806 = [1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0] pubkeycol807 = [0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol808 = [1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol809 = [1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol810 = [1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol811 = [1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0] pubkeycol812 = [0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0] pubkeycol813 = [2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol814 = [1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol815 = [0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol816 = [0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1] pubkeycol817 = [0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol818 = [0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0] pubkeycol819 = [0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol820 = [1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol821 = [2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol822 = [2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol823 = [2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol824 = [1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol825 = [2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0] pubkeycol826 = [0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2] pubkeycol827 = [2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1] pubkeycol828 = [2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol829 = [2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol830 = [0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol831 = [2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol832 = [0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol833 = [0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol834 = [2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol835 = [1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1] pubkeycol836 = [1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2] pubkeycol837 = [1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol838 = [0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol839 = [0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol840 = [0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol841 = [2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol842 = [0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol843 = [2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol844 = [1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol845 = [2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0] pubkeycol846 = [1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol847 = [2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol848 = [1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol849 = [1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2] pubkeycol850 = [2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2] pubkeycol851 = [0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol852 = [2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2] pubkeycol853 = [0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol854 = [0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol855 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1] pubkeycol856 = [1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol857 = [0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol858 = [0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0] pubkeycol859 = [1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2] pubkeycol860 = [2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol861 = [0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2] pubkeycol862 = [0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol863 = [2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol864 = [0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol865 = [2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol866 = [2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol867 = [2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0] pubkeycol868 = [0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol869 = [1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol870 = [1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1] pubkeycol871 = [0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol872 = [0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol873 = [2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2] pubkeycol874 = [2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol875 = [2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol876 = [0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1] pubkeycol877 = [0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol878 = [2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol879 = [2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol880 = [1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol881 = [0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol882 = [1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol883 = [0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol884 = [1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2] pubkeycol885 = [1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol886 = [1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol887 = [0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol888 = [2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol889 = [0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol890 = [1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol891 = [2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol892 = [2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol893 = [0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2] pubkeycol894 = [1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol895 = [2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol896 = [2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol897 = [2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol898 = [0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol899 = [1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol900 = [2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1] pubkeycol901 = [0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol902 = [1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0] pubkeycol903 = [0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol904 = [1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol905 = [2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol906 = [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol907 = [1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol908 = [1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1] pubkeycol909 = [0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol910 = [0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol911 = [1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0] pubkeycol912 = [1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1] pubkeycol913 = [1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2] pubkeycol914 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol915 = [1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol916 = [0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1] pubkeycol917 = [2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol918 = [2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol919 = [2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0] pubkeycol920 = [1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol921 = [1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol922 = [1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol923 = [2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol924 = [2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0] pubkeycol925 = [0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0] pubkeycol926 = [2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol927 = [0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2] pubkeycol928 = [0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol929 = [2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol930 = [1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol931 = [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol932 = [1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol933 = [1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol934 = [0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol935 = [0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol936 = [0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0] pubkeycol937 = [0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol938 = [1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol939 = [1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol940 = [1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol941 = [1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol942 = [0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol943 = [2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol944 = [2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2] pubkeycol945 = [2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0] pubkeycol946 = [2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol947 = [2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol948 = [0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2] pubkeycol949 = [2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2] pubkeycol950 = [0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol951 = [1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol952 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol953 = [2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol954 = [1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol955 = [0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol956 = [2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol957 = [1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol958 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol959 = [0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2] pubkeycol960 = [2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol961 = [1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1] pubkeycol962 = [0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol963 = [1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1] pubkeycol964 = [2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol965 = [1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1] pubkeycol966 = [0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol967 = [2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1] pubkeycol968 = [2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol969 = [1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1] pubkeycol970 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1] pubkeycol971 = [2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol972 = [0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol973 = [1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol974 = [0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol975 = [2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol976 = [2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0] pubkeycol977 = [0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol978 = [2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol979 = [0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2] pubkeycol980 = [2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol981 = [1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol982 = [1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0] pubkeycol983 = [1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2] pubkeycol984 = [2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol985 = [1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol986 = [0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol987 = [2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2] pubkeycol988 = [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol989 = [1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol990 = [0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol991 = [1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol992 = [1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol993 = [0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol994 = [0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol995 = [0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2] pubkeycol996 = [1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol997 = [2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2] pubkeycol998 = [1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol999 = [1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol1000 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol1001 = [1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol1002 = [1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol1003 = [1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0] pubkeycol1004 = [1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol1005 = [2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol1006 = [1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol1007 = [1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0] pubkeycol1008 = [0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol1009 = [1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol1010 = [0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol1011 = [0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol1012 = [0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol1013 = [2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol1014 = [2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2] pubkeycol1015 = [2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol1016 = [1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0] pubkeycol1017 = [1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol1018 = [1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2] pubkeycol1019 = [1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol1020 = [1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol1021 = [0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol1022 = [2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol1023 = [0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol1024 = [2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1] pubkeycol1025 = [2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol1026 = [0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1] pubkeycol1027 = [0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol1028 = [1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0] pubkeycol1029 = [0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0] pubkeycol1030 = [2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol1031 = [2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2] pubkeycol1032 = [2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1] pubkeycol1033 = [2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol1034 = [1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol1035 = [1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0] pubkeycol1036 = [1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2] pubkeycol1037 = [1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol1038 = [1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol1039 = [2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol1040 = [0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol1041 = [0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol1042 = [1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0] pubkeycol1043 = [2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol1044 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol1045 = [1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol1046 = [0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol1047 = [1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol1048 = [0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol1049 = [2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol1050 = [2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol1051 = [1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol1052 = [1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1] pubkeycol1053 = [0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol1054 = [1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0] pubkeycol1055 = [0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol1056 = [0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol1057 = [2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol1058 = [0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol1059 = [2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2] pubkeycol1060 = [0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol1061 = [1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2] pubkeycol1062 = [2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol1063 = [1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0] pubkeycol1064 = [1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol1065 = [2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol1066 = [0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol1067 = [2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1] pubkeycol1068 = [0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol1069 = [2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1] pubkeycol1070 = [0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol1071 = [0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0] pubkeycol1072 = [0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol1073 = [2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol1074 = [0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol1075 = [0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol1076 = [0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol1077 = [2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2] pubkeycol1078 = [0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol1079 = [0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2] pubkeycol1080 = [1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol1081 = [0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol1082 = [1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1] pubkeycol1083 = [1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0] pubkeycol1084 = [1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2] pubkeycol1085 = [0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1] pubkeycol1086 = [2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1] pubkeycol1087 = [0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol1088 = [2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2] pubkeycol1089 = [0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol1090 = [0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol1091 = [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol1092 = [1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol1093 = [1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol1094 = [1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1] pubkeycol1095 = [2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol1096 = [2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol1097 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol1098 = [0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol1099 = [0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol1100 = [2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1] pubkeycol1101 = [2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1] pubkeycol1102 = [0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol1103 = [1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol1104 = [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol1105 = [1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1] pubkeycol1106 = [2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol1107 = [0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol1108 = [1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1] pubkeycol1109 = [1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol1110 = [2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol1111 = [1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol1112 = [1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol1113 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2] pubkeycol1114 = [1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol1115 = [2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1] pubkeycol1116 = [0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol1117 = [2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol1118 = [2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol1119 = [2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol1120 = [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1] pubkeycol1121 = [1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol1122 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol1123 = [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0] pubkeycol1124 = [0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2] pubkeycol1125 = [2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol1126 = [0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1] pubkeycol1127 = [0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol1128 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol1129 = [2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol1130 = [2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol1131 = [1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0] pubkeycol1132 = [1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol1133 = [0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol1134 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol1135 = [2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol1136 = [2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol1137 = [1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol1138 = [1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2] pubkeycol1139 = [1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol1140 = [1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol1141 = [0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol1142 = [2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol1143 = [1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol1144 = [1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol1145 = [2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol1146 = [2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol1147 = [0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol1148 = [2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol1149 = [1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0] pubkeycol1150 = [0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol1151 = [0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol1152 = [2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2] pubkeycol1153 = [0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol1154 = [1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol1155 = [1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol1156 = [2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol1157 = [0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol1158 = [0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol1159 = [2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0] pubkeycol1160 = [0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol1161 = [1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol1162 = [1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2] pubkeycol1163 = [2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0] pubkeycol1164 = [0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol1165 = [1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol1166 = [2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol1167 = [1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol1168 = [0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol1169 = [2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol1170 = [1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol1171 = [2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol1172 = [2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0] pubkeycol1173 = [2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol1174 = [2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1] pubkeycol1175 = [1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2] pubkeycol1176 = [1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0] pubkeycol1177 = [2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol1178 = [2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0] pubkeycol1179 = [0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol1180 = [0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2] pubkeycol1181 = [0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol1182 = [2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2] pubkeycol1183 = [0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0] pubkeycol1184 = [2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol1185 = [2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol1186 = [2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1] pubkeycol1187 = [0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol1188 = [0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1] pubkeycol1189 = [2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol1190 = [0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol1191 = [1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol1192 = [0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol1193 = [0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol1194 = [1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol1195 = [1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol1196 = [1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol1197 = [0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2] pubkeycol1198 = [1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2] pubkeycol1199 = [1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol1200 = [0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol1201 = [0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2] pubkeycol1202 = [2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1] pubkeycol1203 = [0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2] pubkeycol1204 = [1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol1205 = [2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol1206 = [1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol1207 = [2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol1208 = [0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol1209 = [0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol1210 = [2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2] pubkeycol1211 = [0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol1212 = [1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0] pubkeycol1213 = [0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0] pubkeycol1214 = [0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol1215 = [2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1] pubkeycol1216 = [1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0] pubkeycol1217 = [0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol1218 = [0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol1219 = [2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1] pubkeycol1220 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol1221 = [1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol1222 = [0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol1223 = [2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0] pubkeycol1224 = [1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol1225 = [0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2] pubkeycol1226 = [0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0] pubkeycol1227 = [0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1] pubkeycol1228 = [2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0] pubkeycol1229 = [0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2] pubkeycol1230 = [0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol1231 = [2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol1232 = [2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol1233 = [2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol1234 = [0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol1235 = [0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol1236 = [2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1] pubkeycol1237 = [2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol1238 = [2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol1239 = [0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0] pubkeycol1240 = [2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1] pubkeycol1241 = [0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2] pubkeycol1242 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol1243 = [2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol1244 = [0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1] pubkeycol1245 = [0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol1246 = [1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1] pubkeycol1247 = [1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol1248 = [2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol1249 = [2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2] pubkeycol1250 = [1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1] pubkeycol1251 = [2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1] pubkeycol1252 = [2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol1253 = [2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol1254 = [2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol1255 = [0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol1256 = [2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol1257 = [2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol1258 = [1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol1259 = [2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol1260 = [1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol1261 = [1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2] pubkeycol1262 = [1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1] pubkeycol1263 = [0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol1264 = [0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol1265 = [1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0] pubkeycol1266 = [2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol1267 = [1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol1268 = [2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol1269 = [1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol1270 = [0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0,