kilobytes = 91.6182620534050 q = 3 m = 7 n = 1600 s = 0 t = 28 u = 56 k = 1208 w = 42 ciphertext = [2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol392 = [0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol393 = [0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol394 = [0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol395 = [1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol396 = [1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1] pubkeycol397 = [0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1] pubkeycol398 = [2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol399 = [2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol400 = [0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0] pubkeycol401 = [0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol402 = [1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol403 = [0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol404 = [2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2] pubkeycol405 = [0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol406 = [0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1] pubkeycol407 = [1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol408 = [1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol409 = [0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol410 = [1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0] pubkeycol411 = [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol412 = [2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1] pubkeycol413 = [0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol414 = [0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol415 = [0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol416 = [0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol417 = [2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0] pubkeycol418 = [1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1] pubkeycol419 = [2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol420 = [0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol421 = [1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1] pubkeycol422 = [2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol423 = [1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol424 = [2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol425 = [2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol426 = [0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol427 = [0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol428 = [2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol429 = [1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol430 = [2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol431 = [1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2] pubkeycol432 = [0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1] pubkeycol433 = [2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol434 = [2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol435 = [2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol436 = [2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0] pubkeycol437 = [2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2] pubkeycol438 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0] pubkeycol439 = [0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2] pubkeycol440 = [1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol441 = [0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1] pubkeycol442 = [1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol443 = [0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2] pubkeycol444 = [0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol445 = [1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0] pubkeycol446 = [2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol447 = [1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol448 = [2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1] pubkeycol449 = [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol450 = [1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol451 = [0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0] pubkeycol452 = [2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol453 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0] pubkeycol454 = [2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol455 = [0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol456 = [2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol457 = [0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol458 = [0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol459 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol460 = [0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol461 = [2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol462 = [0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol463 = [2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol464 = [0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol465 = [2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1] pubkeycol466 = [1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol467 = [0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol468 = [1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol469 = [2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2] pubkeycol470 = [0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol471 = [0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1] pubkeycol472 = [2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol473 = [1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol474 = [1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol475 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol476 = [2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol477 = [1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2] pubkeycol478 = [1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol479 = [0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol480 = [2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol481 = [1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol482 = [1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol483 = [0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol484 = [1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol485 = [1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1] pubkeycol486 = [0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol487 = [0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1] pubkeycol488 = [0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2] pubkeycol489 = [1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol490 = [0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol491 = [0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol492 = [1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol493 = [1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol494 = [0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol495 = [2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2] pubkeycol496 = [0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol497 = [2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol498 = [1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1] pubkeycol499 = [0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2] pubkeycol500 = [1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1] pubkeycol501 = [1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol502 = [1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol503 = [0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol504 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol505 = [2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol506 = [0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2] pubkeycol507 = [1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0] pubkeycol508 = [2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1] pubkeycol509 = [1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol510 = [0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol511 = [1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1] pubkeycol512 = [2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol513 = [2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol514 = [1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol515 = [1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0] pubkeycol516 = [2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol517 = [2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol518 = [0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol519 = [0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol520 = [1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol521 = [0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2] pubkeycol522 = [1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol523 = [1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol524 = [0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol525 = [1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1] pubkeycol526 = [1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol527 = [2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1] pubkeycol528 = [2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol529 = [2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol530 = [1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol531 = [2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0] pubkeycol532 = [1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol533 = [0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1] pubkeycol534 = [1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol535 = [0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol536 = [0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol537 = [1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol538 = [2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol539 = [1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1] pubkeycol540 = [1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol541 = [2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol542 = [2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol543 = [0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0] pubkeycol544 = [1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1] pubkeycol545 = [0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2] pubkeycol546 = [0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol547 = [1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol548 = [2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol549 = [0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0] pubkeycol550 = [1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol551 = [2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2] pubkeycol552 = [2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol553 = [0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol554 = [2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1] pubkeycol555 = [2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol556 = [2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol557 = [1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol558 = [2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol559 = [1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol560 = [2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol561 = [1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol562 = [0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0] pubkeycol563 = [2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol564 = [2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol565 = [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol566 = [2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol567 = [1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol568 = [2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1] pubkeycol569 = [0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1] pubkeycol570 = [1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol571 = [1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2] pubkeycol572 = [2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol573 = [2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol574 = [2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol575 = [2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol576 = [0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol577 = [2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol578 = [1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol579 = [0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0] pubkeycol580 = [1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0] pubkeycol581 = [2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1] pubkeycol582 = [1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol583 = [1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol584 = [1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol585 = [0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol586 = [0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol587 = [1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol588 = [0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol589 = [2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0] pubkeycol590 = [0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol591 = [2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol592 = [1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1] pubkeycol593 = [1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol594 = [0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1] pubkeycol595 = [0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1] pubkeycol596 = [2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0] pubkeycol597 = [1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol598 = [0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0] pubkeycol599 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2] pubkeycol600 = [2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1] pubkeycol601 = [2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol602 = [1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol603 = [0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0] pubkeycol604 = [2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol605 = [0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol606 = [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol607 = [1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol608 = [2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol609 = [2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol610 = [0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol611 = [1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol612 = [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol613 = [0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol614 = [2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol615 = [0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2] pubkeycol616 = [2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol617 = [1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol618 = [1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol619 = [0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol620 = [1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol621 = [0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol622 = [2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol623 = [2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2] pubkeycol624 = [0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0] pubkeycol625 = [0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol626 = [2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol627 = [2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol628 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2] pubkeycol629 = [1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol630 = [2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol631 = [0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol632 = [0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol633 = [2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2] pubkeycol634 = [1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol635 = [1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol636 = [2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol637 = [1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol638 = [0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol639 = [0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol640 = [2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol641 = [2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol642 = [2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol643 = [1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0] pubkeycol644 = [2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol645 = [0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol646 = [1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol647 = [0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol648 = [0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2] pubkeycol649 = [1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol650 = [0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol651 = [1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0] pubkeycol652 = [2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol653 = [2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1] pubkeycol654 = [2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2] pubkeycol655 = [1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1] pubkeycol656 = [2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0] pubkeycol657 = [1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2] pubkeycol658 = [1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol659 = [2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol660 = [0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol661 = [0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol662 = [2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol663 = [2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0] pubkeycol664 = [2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2] pubkeycol665 = [0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1] pubkeycol666 = [2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol667 = [0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol668 = [1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0] pubkeycol669 = [0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1] pubkeycol670 = [1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol671 = [2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0] pubkeycol672 = [1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol673 = [2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0] pubkeycol674 = [1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol675 = [2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1] pubkeycol676 = [2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2] pubkeycol677 = [1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0] pubkeycol678 = [1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol679 = [0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol680 = [2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol681 = [2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2] pubkeycol682 = [0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol683 = [1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2] pubkeycol684 = [2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2] pubkeycol685 = [1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0] pubkeycol686 = [1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol687 = [1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2] pubkeycol688 = [0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol689 = [0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol690 = [2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1] pubkeycol691 = [2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol692 = [1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol693 = [2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1] pubkeycol694 = [1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol695 = [1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol696 = [2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol697 = [2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol698 = [2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol699 = [1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1] pubkeycol700 = [0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1] pubkeycol701 = [2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol702 = [0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1] pubkeycol703 = [2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2] pubkeycol704 = [2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol705 = [2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol706 = [0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0] pubkeycol707 = [1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol708 = [0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol709 = [0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol710 = [2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol711 = [2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol712 = [1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol713 = [2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0] pubkeycol714 = [0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol715 = [1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol716 = [2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol717 = [0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol718 = [1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2] pubkeycol719 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2] pubkeycol720 = [1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0] pubkeycol721 = [1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol722 = [0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol723 = [2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2] pubkeycol724 = [1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol725 = [1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol726 = [2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol727 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol728 = [0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2] pubkeycol729 = [1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol730 = [1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol731 = [2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol732 = [1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2] pubkeycol733 = [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2] pubkeycol734 = [1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol735 = [2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2] pubkeycol736 = [2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol737 = [2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol738 = [2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol739 = [1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1] pubkeycol740 = [1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol741 = [1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol742 = [2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol743 = [0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol744 = [2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol745 = [0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol746 = [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0] pubkeycol747 = [0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol748 = [0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0] pubkeycol749 = [0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol750 = [0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol751 = [1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2] pubkeycol752 = [1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol753 = [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol754 = [0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol755 = [2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol756 = [0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol757 = [0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol758 = [0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol759 = [1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1] pubkeycol760 = [0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2] pubkeycol761 = [2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol762 = [0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1] pubkeycol763 = [1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0] pubkeycol764 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol765 = [2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol766 = [0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol767 = [0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0] pubkeycol768 = [2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol769 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol770 = [1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol771 = [2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol772 = [1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol773 = [1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol774 = [2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol775 = [1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0] pubkeycol776 = [0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0] pubkeycol777 = [1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol778 = [1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol779 = [2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1] pubkeycol780 = [0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol781 = [0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol782 = [2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol783 = [1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol784 = [2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol785 = [0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2] pubkeycol786 = [2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol787 = [0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol788 = [1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol789 = [2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol790 = [2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1] pubkeycol791 = [0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol792 = [0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol793 = [1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol794 = [1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol795 = [2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol796 = [2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol797 = [1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0] pubkeycol798 = [0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol799 = [1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol800 = [2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol801 = [2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol802 = [1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol803 = [2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol804 = [0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol805 = [0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2] pubkeycol806 = [2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol807 = [2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol808 = [2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol809 = [0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1] pubkeycol810 = [1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol811 = [2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol812 = [0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol813 = [2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol814 = [1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol815 = [1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol816 = [2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol817 = [1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2] pubkeycol818 = [0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol819 = [1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol820 = [1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol821 = [2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol822 = [2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol823 = [1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol824 = [0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol825 = [0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol826 = [2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol827 = [2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2] pubkeycol828 = [2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol829 = [0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol830 = [0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol831 = [0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol832 = [1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol833 = [2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol834 = [0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol835 = [0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0] pubkeycol836 = [2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol837 = [2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol838 = [1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol839 = [2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol840 = [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0] pubkeycol841 = [1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol842 = [2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2] pubkeycol843 = [1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol844 = [2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol845 = [1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol846 = [1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0] pubkeycol847 = [0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol848 = [0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol849 = [1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol850 = [0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol851 = [1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1] pubkeycol852 = [2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol853 = [2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol854 = [2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol855 = [2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol856 = [0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol857 = [2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1] pubkeycol858 = [1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol859 = [0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol860 = [2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0] pubkeycol861 = [1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1] pubkeycol862 = [0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol863 = [1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0] pubkeycol864 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2] pubkeycol865 = [0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol866 = [1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol867 = [1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0] pubkeycol868 = [1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol869 = [2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol870 = [1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol871 = [0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol872 = [1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol873 = [2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2] pubkeycol874 = [2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol875 = [2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1] pubkeycol876 = [2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0] pubkeycol877 = [0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol878 = [0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol879 = [2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol880 = [0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol881 = [1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol882 = [2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol883 = [0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol884 = [0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2] pubkeycol885 = [1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol886 = [0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol887 = [1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0] pubkeycol888 = [0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol889 = [1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol890 = [0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0] pubkeycol891 = [1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol892 = [1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0] pubkeycol893 = [2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol894 = [1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol895 = [2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol896 = [2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol897 = [1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol898 = [0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol899 = [0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol900 = [2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol901 = [1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0] pubkeycol902 = [1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol903 = [2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol904 = [0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0] pubkeycol905 = [1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2] pubkeycol906 = [1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol907 = [1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0] pubkeycol908 = [0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1] pubkeycol909 = [0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol910 = [1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol911 = [2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol912 = [0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1] pubkeycol913 = [1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1] pubkeycol914 = [2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol915 = [2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol916 = [0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol917 = [2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol918 = [1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol919 = [2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1] pubkeycol920 = [1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol921 = [1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol922 = [1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0] pubkeycol923 = [1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol924 = [2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol925 = [0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol926 = [0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol927 = [1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1] pubkeycol928 = [1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol929 = [2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0] pubkeycol930 = [0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1] pubkeycol931 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol932 = [1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0] pubkeycol933 = [1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol934 = [1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1] pubkeycol935 = [2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1] pubkeycol936 = [2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol937 = [2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol938 = [0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol939 = [1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2] pubkeycol940 = [2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol941 = [0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0] pubkeycol942 = [2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol943 = [2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol944 = [2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol945 = [1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0] pubkeycol946 = [0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol947 = [2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol948 = [1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol949 = [1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol950 = [1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol951 = [0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1] pubkeycol952 = [0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol953 = [1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol954 = [2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol955 = [0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2] pubkeycol956 = [0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol957 = [0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol958 = [2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol959 = [1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol960 = [0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol961 = [0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol962 = [2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol963 = [1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol964 = [1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol965 = [1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2] pubkeycol966 = [2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1] pubkeycol967 = [0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2] pubkeycol968 = [1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0] pubkeycol969 = [0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1] pubkeycol970 = [1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol971 = [1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0] pubkeycol972 = [0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol973 = [1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0] pubkeycol974 = [2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2] pubkeycol975 = [1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol976 = [0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1] pubkeycol977 = [1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol978 = [2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol979 = [1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol980 = [0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2] pubkeycol981 = [1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol982 = [2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol983 = [1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol984 = [2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol985 = [2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol986 = [2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2] pubkeycol987 = [1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0] pubkeycol988 = [1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol989 = [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0] pubkeycol990 = [2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol991 = [1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0] pubkeycol992 = [2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol993 = [1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0] pubkeycol994 = [2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2] pubkeycol995 = [2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0] pubkeycol996 = [2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol997 = [2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0] pubkeycol998 = [2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol999 = [1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol1000 = [1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol1001 = [0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol1002 = [2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1] pubkeycol1003 = [2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol1004 = [2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol1005 = [0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1] pubkeycol1006 = [1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2] pubkeycol1007 = [0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol1008 = [0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol1009 = [0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0] pubkeycol1010 = [1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2] pubkeycol1011 = [0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol1012 = [1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1] pubkeycol1013 = [0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol1014 = [2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1] pubkeycol1015 = [1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0] pubkeycol1016 = [0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol1017 = [0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol1018 = [1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1] pubkeycol1019 = [0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol1020 = [0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol1021 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol1022 = [2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol1023 = [1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2] pubkeycol1024 = [2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol1025 = [1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol1026 = [2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol1027 = [1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2] pubkeycol1028 = [2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol1029 = [1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0] pubkeycol1030 = [2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol1031 = [0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0] pubkeycol1032 = [2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1] pubkeycol1033 = [1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1] pubkeycol1034 = [0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2] pubkeycol1035 = [1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol1036 = [2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol1037 = [0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol1038 = [1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol1039 = [1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol1040 = [0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol1041 = [2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1] pubkeycol1042 = [2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol1043 = [1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol1044 = [1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol1045 = [2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol1046 = [2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol1047 = [0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol1048 = [2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol1049 = [0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol1050 = [2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1] pubkeycol1051 = [2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol1052 = [0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol1053 = [2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol1054 = [0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol1055 = [0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol1056 = [1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol1057 = [0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol1058 = [1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1] pubkeycol1059 = [2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol1060 = [2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol1061 = [1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol1062 = [2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2] pubkeycol1063 = [1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol1064 = [2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol1065 = [2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol1066 = [1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol1067 = [0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol1068 = [2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol1069 = [2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1] pubkeycol1070 = [0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol1071 = [0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1072 = [0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol1073 = [2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol1074 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0] pubkeycol1075 = [2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1] pubkeycol1076 = [0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2] pubkeycol1077 = [2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol1078 = [1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1079 = [2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol1080 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol1081 = [2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol1082 = [0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol1083 = [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1084 = [1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol1085 = [2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol1086 = [2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol1087 = [1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol1088 = [1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol1089 = [1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol1090 = [1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol1091 = [0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol1092 = [1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2] pubkeycol1093 = [1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1094 = [0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol1095 = [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol1096 = [1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol1097 = [1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol1098 = [1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol1099 = [0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2] pubkeycol1100 = [2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol1101 = [0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol1102 = [0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol1103 = [0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol1104 = [0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol1105 = [1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol1106 = [0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol1107 = [2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol1108 = [1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol1109 = [0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol1110 = [1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol1111 = [1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol1112 = [0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1] pubkeycol1113 = [1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol1114 = [2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1] pubkeycol1115 = [0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol1116 = [1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0] pubkeycol1117 = [2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol1118 = [1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol1119 = [0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol1120 = [2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol1121 = [0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol1122 = [1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0] pubkeycol1123 = [2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol1124 = [0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol1125 = [2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol1126 = [1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol1127 = [2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol1128 = [0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol1129 = [0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol1130 = [0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol1131 = [0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol1132 = [2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol1133 = [1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol1134 = [1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol1135 = [0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0] pubkeycol1136 = [0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1] pubkeycol1137 = [0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1] pubkeycol1138 = [0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol1139 = [0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol1140 = [1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0] pubkeycol1141 = [2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0] pubkeycol1142 = [0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2] pubkeycol1143 = [0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1] pubkeycol1144 = [2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol1145 = [2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol1146 = [0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol1147 = [1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0] pubkeycol1148 = [0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2] pubkeycol1149 = [1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0] pubkeycol1150 = [1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0] pubkeycol1151 = [0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol1152 = [0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0] pubkeycol1153 = [1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol1154 = [1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol1155 = [1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2] pubkeycol1156 = [1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol1157 = [0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0] pubkeycol1158 = [2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1] pubkeycol1159 = [1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol1160 = [2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol1161 = [2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2] pubkeycol1162 = [1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol1163 = [1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol1164 = [0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol1165 = [2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol1166 = [1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol1167 = [2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol1168 = [0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0] pubkeycol1169 = [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2] pubkeycol1170 = [1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol1171 = [1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol1172 = [1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol1173 = [0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2] pubkeycol1174 = [2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol1175 = [0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0] pubkeycol1176 = [1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol1177 = [2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol1178 = [2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol1179 = [1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol1180 = [2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol1181 = [2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol1182 = [0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol1183 = [1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2] pubkeycol1184 = [0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol1185 = [1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol1186 = [2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol1187 = [0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol1188 = [1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1] pubkeycol1189 = [1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol1190 = [0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol1191 = [1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol1192 = [0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol1193 = [1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1] pubkeycol1194 = [1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol1195 = [0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol1196 = [1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1] pubkeycol1197 = [2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol1198 = [2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol1199 = [0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol1200 = [2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol1201 = [2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol1202 = [2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1] pubkeycol1203 = [2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1] pubkeycol1204 = [2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol1205 = [2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol1206 = [1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol1207 = [1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol1208 = [2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol1209 = [2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0] pubkeycol1210 = [0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol1211 = [2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2] pubkeycol1212 = [0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2] pubkeycol1213 = [1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol1214 = [2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol1215 = [0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol1216 = [2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol1217 = [2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1] pubkeycol1218 = [1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol1219 = [2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol1220 = [2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol1221 = [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol1222 = [1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1] pubkeycol1223 = [2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol1224 = [0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2] pubkeycol1225 = [2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol1226 = [0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1] pubkeycol1227 = [2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1228 = [2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol1229 = [0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol1230 = [1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol1231 = [1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol1232 = [0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol1233 = [0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol1234 = [2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1] pubkeycol1235 = [1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1] pubkeycol1236 = [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2] pubkeycol1237 = [2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol1238 = [2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol1239 = [1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1] pubkeycol1240 = [1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol1241 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0] pubkeycol1242 = [2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1] pubkeycol1243 = [0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol1244 = [2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1] pubkeycol1245 = [1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2] pubkeycol1246 = [1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol1247 = [2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol1248 = [2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol1249 = [1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1] pubkeycol1250 = [2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol1251 = [0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol1252 = [0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol1253 = [1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol1254 = [2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1] pubkeycol1255 = [2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2] pubkeycol1256 = [2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol1257 = [1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol1258 = [0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1] pubkeycol1259 = [2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol1260 = [0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol1261 = [1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0] pubkeycol1262 = [2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol1263 = [1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol1264 = [1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2] pubkeycol1265 = [2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol1266 = [2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol1267 = [2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol1268 = [2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2] pubkeycol1269 = [1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol1270 = [2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1,