kilobytes = 95.9413091867196 q = 3 m = 7 n = 1657 s = 0 t = 28 u = 56 k = 1265 w = 42 ciphertext = [0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol392 = [0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol393 = [0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol394 = [0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol395 = [1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol396 = [1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol397 = [0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol398 = [1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol399 = [1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol400 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1] pubkeycol401 = [1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol402 = [2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0] pubkeycol403 = [1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol404 = [0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol405 = [2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol406 = [2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2] pubkeycol407 = [1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol408 = [2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0] pubkeycol409 = [0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol410 = [1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol411 = [2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol412 = [1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0] pubkeycol413 = [2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol414 = [1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol415 = [2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1] pubkeycol416 = [0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2] pubkeycol417 = [1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol418 = [1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol419 = [1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol420 = [1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol421 = [2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol422 = [0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol423 = [2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1] pubkeycol424 = [1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol425 = [2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol426 = [0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol427 = [1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol428 = [2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol429 = [2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1] pubkeycol430 = [0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1] pubkeycol431 = [2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2] pubkeycol432 = [0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1] pubkeycol433 = [2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol434 = [0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol435 = [1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol436 = [0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0] pubkeycol437 = [0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol438 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol439 = [2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol440 = [0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol441 = [0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol442 = [0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol443 = [1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol444 = [2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol445 = [2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol446 = [1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol447 = [1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol448 = [2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol449 = [2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2] pubkeycol450 = [2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol451 = [2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol452 = [0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0] pubkeycol453 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol454 = [0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol455 = [1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol456 = [2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2] pubkeycol457 = [2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol458 = [1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol459 = [0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0] pubkeycol460 = [2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol461 = [0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol462 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2] pubkeycol463 = [1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol464 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol465 = [1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol466 = [2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol467 = [2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2] pubkeycol468 = [1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol469 = [2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol470 = [2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol471 = [1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol472 = [2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1] pubkeycol473 = [2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol474 = [0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1] pubkeycol475 = [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol476 = [1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1] pubkeycol477 = [1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2] pubkeycol478 = [2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol479 = [2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol480 = [0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol481 = [0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol482 = [0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol483 = [0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol484 = [0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol485 = [1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol486 = [2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol487 = [0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1] pubkeycol488 = [2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol489 = [2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol490 = [0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol491 = [2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol492 = [2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol493 = [2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol494 = [1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol495 = [2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol496 = [0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol497 = [2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol498 = [1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol499 = [0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol500 = [2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol501 = [1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol502 = [1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol503 = [2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol504 = [2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol505 = [1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol506 = [1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0] pubkeycol507 = [2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol508 = [2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol509 = [0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2] pubkeycol510 = [2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0] pubkeycol511 = [0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1] pubkeycol512 = [1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1] pubkeycol513 = [1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol514 = [0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1] pubkeycol515 = [2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol516 = [1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0] pubkeycol517 = [1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1] pubkeycol518 = [2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol519 = [0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2] pubkeycol520 = [0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol521 = [1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2] pubkeycol522 = [1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1] pubkeycol523 = [1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol524 = [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol525 = [2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol526 = [0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2] pubkeycol527 = [0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2] pubkeycol528 = [1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol529 = [0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol530 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol531 = [0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol532 = [0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol533 = [0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol534 = [2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol535 = [0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol536 = [2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol537 = [2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2] pubkeycol538 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol539 = [0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol540 = [1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol541 = [0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol542 = [2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol543 = [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol544 = [2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol545 = [2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol546 = [2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol547 = [0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1] pubkeycol548 = [1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2] pubkeycol549 = [1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol550 = [0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol551 = [0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol552 = [0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol553 = [1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol554 = [0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1] pubkeycol555 = [1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2] pubkeycol556 = [0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1] pubkeycol557 = [2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0] pubkeycol558 = [2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol559 = [2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol560 = [0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol561 = [0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] pubkeycol562 = [1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0] pubkeycol563 = [0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol564 = [1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol565 = [2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2] pubkeycol566 = [1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1] pubkeycol567 = [0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol568 = [2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol569 = [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1] pubkeycol570 = [0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol571 = [0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol572 = [0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2] pubkeycol573 = [1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol574 = [2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol575 = [1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol576 = [1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol577 = [0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol578 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol579 = [1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol580 = [2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol581 = [2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol582 = [2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol583 = [0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol584 = [0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0] pubkeycol585 = [0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1] pubkeycol586 = [2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol587 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol588 = [0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol589 = [0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0] pubkeycol590 = [2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol591 = [0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol592 = [2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol593 = [2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol594 = [2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0] pubkeycol595 = [1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol596 = [2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol597 = [2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol598 = [1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol599 = [0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0] pubkeycol600 = [1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol601 = [2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol602 = [1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol603 = [2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol604 = [1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol605 = [0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2] pubkeycol606 = [0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol607 = [0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol608 = [1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol609 = [2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1] pubkeycol610 = [1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol611 = [1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol612 = [0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol613 = [1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol614 = [0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol615 = [0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol616 = [1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol617 = [0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol618 = [2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol619 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1] pubkeycol620 = [2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol621 = [1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol622 = [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1] pubkeycol623 = [2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol624 = [0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol625 = [0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol626 = [2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol627 = [2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol628 = [0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol629 = [1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol630 = [0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol631 = [0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol632 = [1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol633 = [2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol634 = [0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol635 = [2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1] pubkeycol636 = [1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol637 = [2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol638 = [2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol639 = [2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol640 = [0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1] pubkeycol641 = [2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol642 = [0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol643 = [1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol644 = [2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol645 = [0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol646 = [0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol647 = [1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0] pubkeycol648 = [2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol649 = [0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol650 = [0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol651 = [0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol652 = [0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0] pubkeycol653 = [0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1] pubkeycol654 = [2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol655 = [2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol656 = [2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol657 = [0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol658 = [2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1] pubkeycol659 = [0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2] pubkeycol660 = [1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol661 = [1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol662 = [1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0] pubkeycol663 = [0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol664 = [2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0] pubkeycol665 = [2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol666 = [2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol667 = [1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1] pubkeycol668 = [0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol669 = [2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1] pubkeycol670 = [0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol671 = [1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol672 = [2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol673 = [1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol674 = [1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0] pubkeycol675 = [1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2] pubkeycol676 = [2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol677 = [1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol678 = [2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol679 = [2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol680 = [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol681 = [2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol682 = [2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol683 = [0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol684 = [2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol685 = [0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol686 = [0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol687 = [0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol688 = [0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2] pubkeycol689 = [1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol690 = [2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1] pubkeycol691 = [2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol692 = [1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1] pubkeycol693 = [1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol694 = [2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1] pubkeycol695 = [2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol696 = [0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol697 = [2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol698 = [0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1] pubkeycol699 = [1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2] pubkeycol700 = [1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol701 = [2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1] pubkeycol702 = [0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol703 = [0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol704 = [0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol705 = [0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol706 = [2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol707 = [2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol708 = [2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1] pubkeycol709 = [1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1] pubkeycol710 = [1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol711 = [1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol712 = [0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol713 = [1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0] pubkeycol714 = [2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0] pubkeycol715 = [0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol716 = [2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2] pubkeycol717 = [1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol718 = [2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol719 = [0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2] pubkeycol720 = [1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol721 = [1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0] pubkeycol722 = [2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2] pubkeycol723 = [1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol724 = [0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol725 = [1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol726 = [1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol727 = [1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol728 = [0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol729 = [0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0] pubkeycol730 = [2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol731 = [0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2] pubkeycol732 = [2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1] pubkeycol733 = [1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol734 = [0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol735 = [2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol736 = [1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol737 = [2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0] pubkeycol738 = [1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol739 = [0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2] pubkeycol740 = [2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2] pubkeycol741 = [0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol742 = [1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol743 = [1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol744 = [0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol745 = [1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1] pubkeycol746 = [1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol747 = [1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol748 = [0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2] pubkeycol749 = [0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol750 = [2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2] pubkeycol751 = [2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol752 = [0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol753 = [2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol754 = [1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol755 = [2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0] pubkeycol756 = [0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol757 = [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol758 = [0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol759 = [1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0] pubkeycol760 = [1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol761 = [1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2] pubkeycol762 = [1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol763 = [1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol764 = [1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2] pubkeycol765 = [1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol766 = [1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol767 = [2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol768 = [0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol769 = [2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol770 = [0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol771 = [0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0] pubkeycol772 = [2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol773 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol774 = [1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol775 = [2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0] pubkeycol776 = [0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol777 = [0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0] pubkeycol778 = [1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1] pubkeycol779 = [2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0] pubkeycol780 = [1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol781 = [1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol782 = [0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0] pubkeycol783 = [1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol784 = [1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0] pubkeycol785 = [2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol786 = [2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1] pubkeycol787 = [2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol788 = [0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol789 = [1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol790 = [1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol791 = [1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1] pubkeycol792 = [1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol793 = [1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol794 = [2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol795 = [0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0] pubkeycol796 = [2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0] pubkeycol797 = [2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol798 = [1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol799 = [1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol800 = [1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol801 = [1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1] pubkeycol802 = [1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol803 = [2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol804 = [1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol805 = [1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol806 = [2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol807 = [0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1] pubkeycol808 = [2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol809 = [0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol810 = [2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol811 = [0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1] pubkeycol812 = [1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2] pubkeycol813 = [1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2] pubkeycol814 = [0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0] pubkeycol815 = [2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol816 = [0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol817 = [0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0] pubkeycol818 = [0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol819 = [2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol820 = [2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol821 = [1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol822 = [1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol823 = [0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol824 = [1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol825 = [2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2] pubkeycol826 = [0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol827 = [0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol828 = [2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2] pubkeycol829 = [0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol830 = [0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2] pubkeycol831 = [0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2] pubkeycol832 = [0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol833 = [2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2] pubkeycol834 = [2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol835 = [1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol836 = [1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol837 = [1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol838 = [2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol839 = [1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol840 = [0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol841 = [0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0] pubkeycol842 = [1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0] pubkeycol843 = [0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol844 = [2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol845 = [2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0] pubkeycol846 = [1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2] pubkeycol847 = [0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol848 = [2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1] pubkeycol849 = [1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol850 = [2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol851 = [2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2] pubkeycol852 = [2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0] pubkeycol853 = [0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol854 = [2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol855 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol856 = [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0] pubkeycol857 = [1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol858 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2] pubkeycol859 = [0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1] pubkeycol860 = [1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol861 = [1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol862 = [1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol863 = [0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol864 = [1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol865 = [1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol866 = [0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol867 = [0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol868 = [1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol869 = [0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol870 = [0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2] pubkeycol871 = [1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2] pubkeycol872 = [1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol873 = [0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol874 = [0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol875 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol876 = [2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol877 = [1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1] pubkeycol878 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol879 = [2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0] pubkeycol880 = [2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol881 = [0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2] pubkeycol882 = [2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1] pubkeycol883 = [1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2] pubkeycol884 = [0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2] pubkeycol885 = [1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol886 = [2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol887 = [1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol888 = [1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1] pubkeycol889 = [1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol890 = [1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol891 = [0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol892 = [2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol893 = [1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol894 = [1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol895 = [0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol896 = [0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol897 = [1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol898 = [0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol899 = [1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol900 = [1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2] pubkeycol901 = [1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol902 = [0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol903 = [2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol904 = [1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol905 = [2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol906 = [2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0] pubkeycol907 = [1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol908 = [2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol909 = [0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1] pubkeycol910 = [2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol911 = [1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0] pubkeycol912 = [2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol913 = [0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol914 = [1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2] pubkeycol915 = [1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0] pubkeycol916 = [1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol917 = [2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol918 = [0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol919 = [1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0] pubkeycol920 = [1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1] pubkeycol921 = [0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0] pubkeycol922 = [1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol923 = [1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0] pubkeycol924 = [0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol925 = [1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0] pubkeycol926 = [1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol927 = [0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol928 = [2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol929 = [0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol930 = [1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol931 = [2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol932 = [2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol933 = [1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2] pubkeycol934 = [1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol935 = [1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2] pubkeycol936 = [2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol937 = [0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol938 = [2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol939 = [2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol940 = [1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol941 = [2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol942 = [0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0] pubkeycol943 = [1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol944 = [2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol945 = [1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1] pubkeycol946 = [1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol947 = [0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol948 = [1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1] pubkeycol949 = [1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol950 = [1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol951 = [0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0] pubkeycol952 = [0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol953 = [2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0] pubkeycol954 = [2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol955 = [2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol956 = [0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol957 = [1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2] pubkeycol958 = [0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol959 = [2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol960 = [0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1] pubkeycol961 = [0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0] pubkeycol962 = [2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0] pubkeycol963 = [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1] pubkeycol964 = [1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol965 = [1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol966 = [2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol967 = [1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol968 = [1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol969 = [2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol970 = [2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol971 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1] pubkeycol972 = [2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol973 = [1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol974 = [2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol975 = [2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0] pubkeycol976 = [1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol977 = [1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0] pubkeycol978 = [1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol979 = [1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1] pubkeycol980 = [1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol981 = [1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1] pubkeycol982 = [1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol983 = [0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol984 = [1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0] pubkeycol985 = [0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0] pubkeycol986 = [0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol987 = [0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol988 = [1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol989 = [1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol990 = [2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0] pubkeycol991 = [0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol992 = [1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol993 = [2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2] pubkeycol994 = [1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2] pubkeycol995 = [2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0] pubkeycol996 = [2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol997 = [1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1] pubkeycol998 = [2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol999 = [0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol1000 = [2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol1001 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol1002 = [2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1] pubkeycol1003 = [0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol1004 = [0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol1005 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol1006 = [1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol1007 = [1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol1008 = [1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol1009 = [2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol1010 = [1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0] pubkeycol1011 = [2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2] pubkeycol1012 = [1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol1013 = [1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol1014 = [0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1015 = [2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1] pubkeycol1016 = [2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2] pubkeycol1017 = [0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol1018 = [0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol1019 = [1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0] pubkeycol1020 = [0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol1021 = [2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol1022 = [2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0] pubkeycol1023 = [0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol1024 = [2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol1025 = [2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol1026 = [1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol1027 = [1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol1028 = [2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol1029 = [1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2] pubkeycol1030 = [0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol1031 = [0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1] pubkeycol1032 = [2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0] pubkeycol1033 = [2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol1034 = [1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol1035 = [2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1] pubkeycol1036 = [2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol1037 = [2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2] pubkeycol1038 = [2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol1039 = [2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol1040 = [0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2] pubkeycol1041 = [1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol1042 = [2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol1043 = [2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2] pubkeycol1044 = [1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol1045 = [0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol1046 = [1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0] pubkeycol1047 = [1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol1048 = [0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2] pubkeycol1049 = [0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol1050 = [1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1] pubkeycol1051 = [0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol1052 = [2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol1053 = [2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol1054 = [1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol1055 = [0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol1056 = [1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol1057 = [1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol1058 = [0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol1059 = [0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol1060 = [1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol1061 = [2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0] pubkeycol1062 = [2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol1063 = [0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0] pubkeycol1064 = [0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol1065 = [1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2] pubkeycol1066 = [0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1] pubkeycol1067 = [2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol1068 = [1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol1069 = [0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol1070 = [2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2] pubkeycol1071 = [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol1072 = [1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol1073 = [0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol1074 = [2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol1075 = [1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1] pubkeycol1076 = [2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1] pubkeycol1077 = [0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0] pubkeycol1078 = [0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol1079 = [0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol1080 = [0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol1081 = [1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol1082 = [1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol1083 = [2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol1084 = [0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol1085 = [0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol1086 = [2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1] pubkeycol1087 = [2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1] pubkeycol1088 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol1089 = [2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol1090 = [1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol1091 = [2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2] pubkeycol1092 = [1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol1093 = [1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0] pubkeycol1094 = [2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol1095 = [2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol1096 = [0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol1097 = [1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol1098 = [2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol1099 = [0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1] pubkeycol1100 = [2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol1101 = [0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol1102 = [1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2] pubkeycol1103 = [2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol1104 = [2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol1105 = [2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0] pubkeycol1106 = [0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0] pubkeycol1107 = [0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1] pubkeycol1108 = [0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol1109 = [1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol1110 = [2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol1111 = [0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol1112 = [2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol1113 = [1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1] pubkeycol1114 = [1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol1115 = [0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol1116 = [2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol1117 = [0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2] pubkeycol1118 = [1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2] pubkeycol1119 = [2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1] pubkeycol1120 = [1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1] pubkeycol1121 = [2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol1122 = [2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol1123 = [2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0] pubkeycol1124 = [2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol1125 = [2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol1126 = [1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol1127 = [0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1] pubkeycol1128 = [2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol1129 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol1130 = [0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol1131 = [2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol1132 = [0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol1133 = [1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol1134 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol1135 = [0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol1136 = [2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol1137 = [0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol1138 = [0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol1139 = [2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol1140 = [2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol1141 = [1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol1142 = [2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2] pubkeycol1143 = [0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol1144 = [0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol1145 = [2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol1146 = [1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2] pubkeycol1147 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol1148 = [0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol1149 = [1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol1150 = [0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol1151 = [2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol1152 = [0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol1153 = [0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol1154 = [2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0] pubkeycol1155 = [1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol1156 = [2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2] pubkeycol1157 = [2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol1158 = [1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0] pubkeycol1159 = [1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol1160 = [0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol1161 = [2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol1162 = [2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1163 = [0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol1164 = [1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol1165 = [0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol1166 = [2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2] pubkeycol1167 = [0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol1168 = [0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol1169 = [0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2] pubkeycol1170 = [2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol1171 = [0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol1172 = [1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol1173 = [2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1] pubkeycol1174 = [1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol1175 = [2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol1176 = [2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2] pubkeycol1177 = [0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1] pubkeycol1178 = [1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol1179 = [0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol1180 = [2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2] pubkeycol1181 = [0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol1182 = [2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1] pubkeycol1183 = [1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol1184 = [2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol1185 = [1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol1186 = [0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1] pubkeycol1187 = [1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol1188 = [0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol1189 = [0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol1190 = [0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol1191 = [0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol1192 = [2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol1193 = [2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol1194 = [0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0] pubkeycol1195 = [0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol1196 = [0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol1197 = [0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol1198 = [2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol1199 = [2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol1200 = [2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1] pubkeycol1201 = [1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1] pubkeycol1202 = [1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1] pubkeycol1203 = [1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol1204 = [1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol1205 = [2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol1206 = [1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2] pubkeycol1207 = [0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1] pubkeycol1208 = [2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol1209 = [2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol1210 = [2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol1211 = [1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol1212 = [1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol1213 = [1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol1214 = [2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0] pubkeycol1215 = [2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2] pubkeycol1216 = [1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0] pubkeycol1217 = [1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol1218 = [1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol1219 = [1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol1220 = [2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol1221 = [0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2] pubkeycol1222 = [2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol1223 = [2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol1224 = [1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2] pubkeycol1225 = [0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol1226 = [2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2] pubkeycol1227 = [0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0] pubkeycol1228 = [2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0] pubkeycol1229 = [1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol1230 = [0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol1231 = [0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol1232 = [1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2] pubkeycol1233 = [2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2] pubkeycol1234 = [0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol1235 = [1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol1236 = [2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol1237 = [1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2] pubkeycol1238 = [1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol1239 = [2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol1240 = [2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol1241 = [0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2] pubkeycol1242 = [2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0] pubkeycol1243 = [0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol1244 = [0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0] pubkeycol1245 = [0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol1246 = [2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1] pubkeycol1247 = [2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol1248 = [2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1] pubkeycol1249 = [1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol1250 = [0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol1251 = [1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol1252 = [1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol1253 = [0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2] pubkeycol1254 = [0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol1255 = [2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol1256 = [0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol1257 = [2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol1258 = [1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1] pubkeycol1259 = [1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1260 = [2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2] pubkeycol1261 = [1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol1262 = [0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol1263 = [1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol1264 = [0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol1265 = [2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol1266 = [1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol1267 = [2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1] pubkeycol1268 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol1269 = [2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1] pubkeycol1270 = [1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1,