kilobytes = 103.980659996042 q = 3 m = 7 n = 1763 s = 0 t = 28 u = 56 k = 1371 w = 42 ciphertext = [0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol392 = [2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol393 = [1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol394 = [1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol395 = [2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0] pubkeycol396 = [1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol397 = [2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1] pubkeycol398 = [2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol399 = [1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol400 = [2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0] pubkeycol401 = [0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol402 = [0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2] pubkeycol403 = [1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0] pubkeycol404 = [0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol405 = [2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1] pubkeycol406 = [2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1] pubkeycol407 = [1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1] pubkeycol408 = [1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol409 = [0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol410 = [1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol411 = [2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol412 = [1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0] pubkeycol413 = [2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol414 = [1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol415 = [0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol416 = [0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol417 = [2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol418 = [1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol419 = [2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol420 = [0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol421 = [2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol422 = [2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol423 = [0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol424 = [1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0] pubkeycol425 = [0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1] pubkeycol426 = [0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0] pubkeycol427 = [2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol428 = [1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol429 = [0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol430 = [1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0] pubkeycol431 = [1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0] pubkeycol432 = [2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol433 = [2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol434 = [1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1] pubkeycol435 = [2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2] pubkeycol436 = [2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2] pubkeycol437 = [2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol438 = [0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2] pubkeycol439 = [1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0] pubkeycol440 = [1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1] pubkeycol441 = [0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0] pubkeycol442 = [0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2] pubkeycol443 = [1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol444 = [0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol445 = [2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol446 = [1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol447 = [1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol448 = [2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1] pubkeycol449 = [0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol450 = [2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol451 = [0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol452 = [2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2] pubkeycol453 = [1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol454 = [2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2] pubkeycol455 = [0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2] pubkeycol456 = [2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol457 = [0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2] pubkeycol458 = [1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2] pubkeycol459 = [2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol460 = [1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol461 = [2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0] pubkeycol462 = [0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol463 = [1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol464 = [1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol465 = [2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol466 = [2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol467 = [0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol468 = [0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol469 = [0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1] pubkeycol470 = [0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol471 = [0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol472 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2] pubkeycol473 = [0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol474 = [0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1] pubkeycol475 = [0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol476 = [2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol477 = [0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol478 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol479 = [1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1] pubkeycol480 = [1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol481 = [0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol482 = [1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0] pubkeycol483 = [0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0] pubkeycol484 = [2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1] pubkeycol485 = [2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol486 = [1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2] pubkeycol487 = [0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol488 = [2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2] pubkeycol489 = [0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0] pubkeycol490 = [0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1] pubkeycol491 = [0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol492 = [2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2] pubkeycol493 = [2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol494 = [2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol495 = [1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol496 = [2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol497 = [0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0] pubkeycol498 = [0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol499 = [2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol500 = [0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol501 = [1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1] pubkeycol502 = [1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol503 = [2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol504 = [1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0] pubkeycol505 = [2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol506 = [1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1] pubkeycol507 = [0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol508 = [2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol509 = [1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol510 = [1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol511 = [2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol512 = [0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol513 = [0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol514 = [2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol515 = [0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol516 = [2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2] pubkeycol517 = [2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol518 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2] pubkeycol519 = [1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol520 = [1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol521 = [1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2] pubkeycol522 = [0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2] pubkeycol523 = [1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol524 = [1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol525 = [1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1] pubkeycol526 = [0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0] pubkeycol527 = [1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol528 = [1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol529 = [1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol530 = [2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1] pubkeycol531 = [2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol532 = [1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol533 = [0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol534 = [0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol535 = [1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol536 = [1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1] pubkeycol537 = [0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2] pubkeycol538 = [2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol539 = [2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol540 = [2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol541 = [0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol542 = [1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol543 = [2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol544 = [1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2] pubkeycol545 = [2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol546 = [1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0] pubkeycol547 = [1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol548 = [2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1] pubkeycol549 = [0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol550 = [0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol551 = [0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol552 = [2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol553 = [1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol554 = [1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol555 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2] pubkeycol556 = [2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2] pubkeycol557 = [0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol558 = [0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1] pubkeycol559 = [1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol560 = [2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol561 = [1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol562 = [1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1] pubkeycol563 = [1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol564 = [1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol565 = [0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol566 = [1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2] pubkeycol567 = [2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol568 = [1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol569 = [2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol570 = [2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol571 = [0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol572 = [1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol573 = [0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0] pubkeycol574 = [0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2] pubkeycol575 = [2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol576 = [2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0] pubkeycol577 = [2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1] pubkeycol578 = [1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol579 = [2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol580 = [0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol581 = [2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol582 = [2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol583 = [1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1] pubkeycol584 = [2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0] pubkeycol585 = [2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0] pubkeycol586 = [0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol587 = [0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol588 = [0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1] pubkeycol589 = [1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol590 = [1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol591 = [2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0] pubkeycol592 = [1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol593 = [0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol594 = [2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1] pubkeycol595 = [0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0] pubkeycol596 = [2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1] pubkeycol597 = [2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0] pubkeycol598 = [1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol599 = [0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2] pubkeycol600 = [0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol601 = [1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2] pubkeycol602 = [1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol603 = [1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2] pubkeycol604 = [0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol605 = [2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1] pubkeycol606 = [2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol607 = [1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2] pubkeycol608 = [2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2] pubkeycol609 = [2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol610 = [0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol611 = [0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1] pubkeycol612 = [0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol613 = [2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol614 = [1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol615 = [0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol616 = [2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol617 = [1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0] pubkeycol618 = [0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol619 = [0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2] pubkeycol620 = [2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol621 = [1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol622 = [2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1] pubkeycol623 = [0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol624 = [1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0] pubkeycol625 = [1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol626 = [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0] pubkeycol627 = [2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1] pubkeycol628 = [1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol629 = [2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol630 = [1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0] pubkeycol631 = [2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0] pubkeycol632 = [1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol633 = [0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0] pubkeycol634 = [0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol635 = [0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol636 = [0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol637 = [2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol638 = [1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol639 = [2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol640 = [1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol641 = [0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0] pubkeycol642 = [0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1] pubkeycol643 = [2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol644 = [1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1] pubkeycol645 = [2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol646 = [0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol647 = [0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1] pubkeycol648 = [2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol649 = [2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol650 = [0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol651 = [1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2] pubkeycol652 = [1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol653 = [1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol654 = [0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol655 = [2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol656 = [0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol657 = [2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0] pubkeycol658 = [1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol659 = [2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol660 = [1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol661 = [2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol662 = [0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol663 = [1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol664 = [1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol665 = [0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol666 = [0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1] pubkeycol667 = [2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol668 = [1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2] pubkeycol669 = [1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol670 = [0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol671 = [1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol672 = [0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol673 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol674 = [0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol675 = [0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol676 = [2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol677 = [1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol678 = [0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol679 = [2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2] pubkeycol680 = [0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol681 = [2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol682 = [1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1] pubkeycol683 = [1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol684 = [0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1] pubkeycol685 = [0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol686 = [1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol687 = [2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol688 = [1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol689 = [0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol690 = [1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1] pubkeycol691 = [1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol692 = [1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol693 = [1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2] pubkeycol694 = [2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol695 = [2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1] pubkeycol696 = [1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol697 = [1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1] pubkeycol698 = [0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2] pubkeycol699 = [0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol700 = [1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1] pubkeycol701 = [0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1] pubkeycol702 = [1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol703 = [1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol704 = [2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol705 = [0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol706 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol707 = [0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol708 = [1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol709 = [1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0] pubkeycol710 = [0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0] pubkeycol711 = [2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1] pubkeycol712 = [0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1] pubkeycol713 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol714 = [1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol715 = [0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol716 = [1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0] pubkeycol717 = [0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1] pubkeycol718 = [2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol719 = [0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol720 = [1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1] pubkeycol721 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0] pubkeycol722 = [0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol723 = [2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol724 = [0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol725 = [2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol726 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol727 = [0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0] pubkeycol728 = [2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol729 = [1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0] pubkeycol730 = [1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0] pubkeycol731 = [2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1] pubkeycol732 = [0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol733 = [2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0] pubkeycol734 = [0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol735 = [0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0] pubkeycol736 = [1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol737 = [1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0] pubkeycol738 = [1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol739 = [1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol740 = [0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol741 = [0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol742 = [2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol743 = [0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol744 = [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol745 = [1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol746 = [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol747 = [0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol748 = [0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol749 = [1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1] pubkeycol750 = [2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol751 = [0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0] pubkeycol752 = [1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol753 = [0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol754 = [0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol755 = [0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1] pubkeycol756 = [2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol757 = [2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol758 = [2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0] pubkeycol759 = [0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol760 = [2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol761 = [1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol762 = [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol763 = [2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0] pubkeycol764 = [0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol765 = [2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol766 = [1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol767 = [0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol768 = [2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0] pubkeycol769 = [2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol770 = [1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol771 = [2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol772 = [2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol773 = [0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol774 = [1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1] pubkeycol775 = [2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol776 = [0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol777 = [2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0] pubkeycol778 = [1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1] pubkeycol779 = [1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol780 = [0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol781 = [1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1] pubkeycol782 = [2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol783 = [2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2] pubkeycol784 = [2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1] pubkeycol785 = [2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol786 = [2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol787 = [0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2] pubkeycol788 = [1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol789 = [0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol790 = [1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1] pubkeycol791 = [1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol792 = [0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0] pubkeycol793 = [2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2] pubkeycol794 = [0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol795 = [2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol796 = [0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1] pubkeycol797 = [1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol798 = [1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol799 = [1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol800 = [0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol801 = [0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0] pubkeycol802 = [2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol803 = [1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0] pubkeycol804 = [2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2] pubkeycol805 = [0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0] pubkeycol806 = [2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol807 = [2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol808 = [1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol809 = [1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol810 = [1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2] pubkeycol811 = [1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0] pubkeycol812 = [2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol813 = [2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0] pubkeycol814 = [1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0] pubkeycol815 = [1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol816 = [2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol817 = [0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol818 = [1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1] pubkeycol819 = [0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2] pubkeycol820 = [0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol821 = [2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0] pubkeycol822 = [0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol823 = [0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol824 = [2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol825 = [1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol826 = [1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol827 = [2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol828 = [0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol829 = [1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol830 = [1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1] pubkeycol831 = [2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol832 = [1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol833 = [1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol834 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0] pubkeycol835 = [2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0] pubkeycol836 = [2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol837 = [2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol838 = [1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol839 = [0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol840 = [1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol841 = [2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol842 = [0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol843 = [1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol844 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol845 = [0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0] pubkeycol846 = [0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol847 = [1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2] pubkeycol848 = [1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0] pubkeycol849 = [0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol850 = [2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1] pubkeycol851 = [0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol852 = [1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0] pubkeycol853 = [0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2] pubkeycol854 = [0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol855 = [1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2] pubkeycol856 = [2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol857 = [1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2] pubkeycol858 = [0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol859 = [0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol860 = [1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol861 = [1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2] pubkeycol862 = [0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol863 = [2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2] pubkeycol864 = [0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol865 = [0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1] pubkeycol866 = [2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2] pubkeycol867 = [1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol868 = [0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol869 = [1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol870 = [0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol871 = [2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol872 = [0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol873 = [2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol874 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol875 = [2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0] pubkeycol876 = [0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol877 = [1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol878 = [0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2] pubkeycol879 = [0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2] pubkeycol880 = [2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol881 = [2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol882 = [0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol883 = [1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol884 = [1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol885 = [2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1] pubkeycol886 = [2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol887 = [2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol888 = [2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol889 = [2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol890 = [2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol891 = [1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2] pubkeycol892 = [1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2] pubkeycol893 = [0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol894 = [1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol895 = [0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol896 = [2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol897 = [1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol898 = [0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol899 = [0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol900 = [2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1] pubkeycol901 = [0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol902 = [2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol903 = [1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol904 = [2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol905 = [2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0] pubkeycol906 = [0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol907 = [1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1] pubkeycol908 = [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol909 = [0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2] pubkeycol910 = [1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol911 = [1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol912 = [1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol913 = [0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0] pubkeycol914 = [2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol915 = [2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol916 = [1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2] pubkeycol917 = [0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0] pubkeycol918 = [0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2] pubkeycol919 = [1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol920 = [0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol921 = [0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol922 = [2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0] pubkeycol923 = [0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2] pubkeycol924 = [0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol925 = [1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol926 = [2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0] pubkeycol927 = [2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol928 = [0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol929 = [2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol930 = [0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol931 = [2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol932 = [0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol933 = [0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol934 = [2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1] pubkeycol935 = [0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2] pubkeycol936 = [0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol937 = [0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0] pubkeycol938 = [2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol939 = [1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol940 = [1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol941 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol942 = [1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0] pubkeycol943 = [0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1] pubkeycol944 = [0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol945 = [2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol946 = [2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1] pubkeycol947 = [1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol948 = [2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol949 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol950 = [1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol951 = [0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol952 = [0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol953 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1] pubkeycol954 = [2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol955 = [0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol956 = [0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2] pubkeycol957 = [1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1] pubkeycol958 = [1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol959 = [2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol960 = [2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol961 = [2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol962 = [0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1] pubkeycol963 = [0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2] pubkeycol964 = [2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol965 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol966 = [0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2] pubkeycol967 = [1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1] pubkeycol968 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol969 = [2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol970 = [1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0] pubkeycol971 = [2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol972 = [1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0] pubkeycol973 = [1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol974 = [1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol975 = [0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol976 = [2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol977 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol978 = [0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1] pubkeycol979 = [2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol980 = [2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol981 = [0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2] pubkeycol982 = [1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol983 = [0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol984 = [1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol985 = [0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1] pubkeycol986 = [0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol987 = [1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol988 = [2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol989 = [0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2] pubkeycol990 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol991 = [2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0] pubkeycol992 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol993 = [1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol994 = [0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol995 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol996 = [0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0] pubkeycol997 = [0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1] pubkeycol998 = [0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol999 = [0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol1000 = [1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2] pubkeycol1001 = [2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0] pubkeycol1002 = [1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1] pubkeycol1003 = [0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol1004 = [2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol1005 = [1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1] pubkeycol1006 = [2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol1007 = [2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol1008 = [1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0] pubkeycol1009 = [1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol1010 = [1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol1011 = [0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol1012 = [0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol1013 = [1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol1014 = [1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol1015 = [0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol1016 = [0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol1017 = [2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0] pubkeycol1018 = [0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1] pubkeycol1019 = [1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0] pubkeycol1020 = [0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol1021 = [1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol1022 = [0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol1023 = [0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol1024 = [2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol1025 = [2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol1026 = [1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol1027 = [2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0] pubkeycol1028 = [1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1] pubkeycol1029 = [1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2] pubkeycol1030 = [0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2] pubkeycol1031 = [0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol1032 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol1033 = [0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol1034 = [1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol1035 = [2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol1036 = [0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2] pubkeycol1037 = [2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol1038 = [1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1] pubkeycol1039 = [2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1] pubkeycol1040 = [1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol1041 = [2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol1042 = [1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol1043 = [1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol1044 = [0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0] pubkeycol1045 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0] pubkeycol1046 = [2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol1047 = [2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol1048 = [1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol1049 = [2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol1050 = [0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol1051 = [2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol1052 = [1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1] pubkeycol1053 = [0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2] pubkeycol1054 = [0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol1055 = [1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol1056 = [0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1] pubkeycol1057 = [1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol1058 = [1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol1059 = [2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0] pubkeycol1060 = [0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol1061 = [1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol1062 = [2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0] pubkeycol1063 = [2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol1064 = [1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1] pubkeycol1065 = [0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol1066 = [2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol1067 = [1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol1068 = [2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol1069 = [0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1] pubkeycol1070 = [2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2] pubkeycol1071 = [0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1] pubkeycol1072 = [2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol1073 = [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol1074 = [0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol1075 = [0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1] pubkeycol1076 = [2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol1077 = [2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2] pubkeycol1078 = [2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0] pubkeycol1079 = [1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0] pubkeycol1080 = [2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2] pubkeycol1081 = [2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol1082 = [2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2] pubkeycol1083 = [1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol1084 = [2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol1085 = [0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol1086 = [0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol1087 = [1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2] pubkeycol1088 = [0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol1089 = [0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0] pubkeycol1090 = [0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0] pubkeycol1091 = [2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol1092 = [1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol1093 = [2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol1094 = [2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol1095 = [1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol1096 = [0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1] pubkeycol1097 = [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol1098 = [2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol1099 = [0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1] pubkeycol1100 = [0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol1101 = [1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1] pubkeycol1102 = [1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0] pubkeycol1103 = [1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol1104 = [0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol1105 = [1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0] pubkeycol1106 = [1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol1107 = [2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0] pubkeycol1108 = [0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2] pubkeycol1109 = [0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol1110 = [1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol1111 = [0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol1112 = [2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol1113 = [1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol1114 = [2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol1115 = [0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol1116 = [0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1] pubkeycol1117 = [1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1] pubkeycol1118 = [1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1] pubkeycol1119 = [0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol1120 = [0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol1121 = [1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol1122 = [2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol1123 = [0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2] pubkeycol1124 = [2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol1125 = [2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol1126 = [1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol1127 = [2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol1128 = [0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2] pubkeycol1129 = [1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1] pubkeycol1130 = [1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol1131 = [1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol1132 = [2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol1133 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol1134 = [2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol1135 = [1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol1136 = [0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol1137 = [2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0] pubkeycol1138 = [1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol1139 = [1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2] pubkeycol1140 = [2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2] pubkeycol1141 = [2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0] pubkeycol1142 = [0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol1143 = [0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol1144 = [2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol1145 = [1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol1146 = [2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol1147 = [1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2] pubkeycol1148 = [1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1] pubkeycol1149 = [1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol1150 = [1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol1151 = [0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol1152 = [0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0] pubkeycol1153 = [1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0] pubkeycol1154 = [1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol1155 = [1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol1156 = [1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2] pubkeycol1157 = [2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol1158 = [2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol1159 = [2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol1160 = [2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol1161 = [2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol1162 = [0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol1163 = [2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol1164 = [0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol1165 = [2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol1166 = [2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol1167 = [1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol1168 = [0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol1169 = [0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1] pubkeycol1170 = [1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol1171 = [0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol1172 = [0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol1173 = [2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2] pubkeycol1174 = [1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol1175 = [1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol1176 = [1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol1177 = [1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2] pubkeycol1178 = [0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol1179 = [0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0] pubkeycol1180 = [0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0] pubkeycol1181 = [2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol1182 = [1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol1183 = [2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1] pubkeycol1184 = [0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol1185 = [2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol1186 = [0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol1187 = [0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol1188 = [1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol1189 = [1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol1190 = [0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol1191 = [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2] pubkeycol1192 = [0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol1193 = [2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0] pubkeycol1194 = [2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol1195 = [1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol1196 = [1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol1197 = [0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1] pubkeycol1198 = [2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1] pubkeycol1199 = [1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol1200 = [2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol1201 = [1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2] pubkeycol1202 = [2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1] pubkeycol1203 = [2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol1204 = [0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2] pubkeycol1205 = [2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol1206 = [1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol1207 = [2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol1208 = [0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol1209 = [0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2] pubkeycol1210 = [2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol1211 = [1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol1212 = [0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol1213 = [2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1] pubkeycol1214 = [2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol1215 = [2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol1216 = [2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol1217 = [0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol1218 = [2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol1219 = [2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol1220 = [2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol1221 = [1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1] pubkeycol1222 = [0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2] pubkeycol1223 = [0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol1224 = [1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol1225 = [0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0] pubkeycol1226 = [1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol1227 = [2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol1228 = [2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol1229 = [0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol1230 = [2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol1231 = [0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1] pubkeycol1232 = [0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol1233 = [1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol1234 = [1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0] pubkeycol1235 = [1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol1236 = [2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2] pubkeycol1237 = [1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol1238 = [0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol1239 = [1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol1240 = [0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0] pubkeycol1241 = [1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol1242 = [2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol1243 = [1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0] pubkeycol1244 = [1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol1245 = [1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol1246 = [2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol1247 = [1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2] pubkeycol1248 = [0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol1249 = [0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol1250 = [2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol1251 = [2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol1252 = [2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0] pubkeycol1253 = [1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol1254 = [0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0] pubkeycol1255 = [2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol1256 = [2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0] pubkeycol1257 = [0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2] pubkeycol1258 = [2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2] pubkeycol1259 = [1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol1260 = [1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol1261 = [1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol1262 = [1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0] pubkeycol1263 = [1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol1264 = [0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol1265 = [2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol1266 = [0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol1267 = [2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1] pubkeycol1268 = [0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol1269 = [1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1] pubkeycol1270 = [0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2] pubkeycol1271 = [2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol1272 = [0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2] pubkeycol1273 = [0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2] pubkeycol1274 = [0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol1275 = [1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol1276 = [0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1] pubkeycol1277 = [1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol1278 = [2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1] pubkeycol1279 = [0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol1280 = [0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol1281 = [0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol1282 = [2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol1283 = [1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol1284 = [2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1] pubkeycol1285 = [0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol1286 = [0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2] pubkeycol1287 = [0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0] pubkeycol1288 = [2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2] pubkeycol1289 = [1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol1290 = [0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol1291 = [0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol1292 = [0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol1293 = [1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol1294 = [2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2] pubkeycol1295 = [2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2] pubkeycol1296 = [2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol1297 = [0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol1298 = [0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol1299 = [0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1] pubkeycol1300 = [0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol1301 = [1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol1302 = [2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol1303 = [0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2] pubkeycol1304 = [2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol1305 = [2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol1306 = [2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol1307 = [0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol1308 = [0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol1309 = [2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0] pubkeycol1310 = [0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol1311 = [2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol1312 = [1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol1313 = [2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol1314 = [2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol1315 = [0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1] pubkeycol1316 = [1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol1317 = [2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol1318 = [0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol1319 = [1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0] pubkeycol1320 = [0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2] pubkeycol1321 = [1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol1322 = [0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol1323 = [1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol1324 = [0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0] pubkeycol1325 = [2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol1326 = [2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol1327 = [2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol1328 = [1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol1329 = [2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol1330 = [0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2] pubkeycol1331 = [0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1] pubkeycol1332 = [2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol1333 = [2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol1334 = [2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol1335 = [2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol1336 = [1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1] pubkeycol1337 = [0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol1338 = [1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol1339 = [0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2] pubkeycol1340 = [2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1] pubkeycol1341 = [1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1] pubkeycol1342 = [1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol1343 = [2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1] pubkeycol1344 = [1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol1345 = [0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol1346 = [0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol1347 = [0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol1348 = [1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0] pubkeycol1349 = [2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2] pubkeycol1350 = [1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0] pubkeycol1351 = [2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol1352 = [0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol1353 = [0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol1354 = [2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol1355 = [2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol1356 = [0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol1357 = [0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol1358 = [2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol1359 = [2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol1360 = [0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol1361 = [0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol1362 = [1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol1363 = [2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1] pubkeycol1364 = [2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol1365 = [0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol1366 = [0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol1367 = [0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1] pubkeycol1368 = [0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1] pubkeycol1369 = [0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol1370 = [1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol1371 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0] pubkeycol1372 = [2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0] pubkeycol1373 = [1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1] pubkeycol1374 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol1375 = [2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol1376 = [0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol1377 = [2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol1378 = [0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0] pubkeycol1379 = [2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol1380 = [1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol1381 = [0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol1382 = [2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1] pubkeycol1383 = [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol1384 = [0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1] pubkeycol1385 = [0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol1386 = [1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol1387 = [1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol1388 = [0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1] pubkeycol1389 = [2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1] pubkeycol1390 = [2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol1391 = [0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0] pubkeycol1392 = [2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2] pubkeycol1393 = [1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol1394 = [1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol1395 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol1396 = [0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol1397 = [0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol1398 = [2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol1399 = [1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1] pubkeycol1400 = [1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol1401 = [1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2] pubkeycol1402 = [1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol1403 = [0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol1404 = [2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2] pubkeycol1405 = [1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2] pubkeycol1406 = [1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol1407 = [2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1] pubkeycol1408 = [1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0] pubkeycol1409 = [1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1] pubkeycol1410 = [1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol1411 = [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol1412 = [2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol1413 = [1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0] pubkeycol1414 = [0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2] pubkeycol1415 = [1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol1416 = [1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol1417 = [1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol1418 = [2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol1419 = [0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1] pubkeycol1420 = [0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol1421 = [2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol1422 = [0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol1423 = [2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol1424 = [0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol1425 = [2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol1426 = [0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol1427 = [2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol1428 = [2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol1429 = [0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1] pubkeycol1430 = [1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol1431 = [0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol1432 = [0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol1433 = [0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol1434 = [1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol1435 = [2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol1436 = [1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0] pubkeycol1437 = [0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol1438 = [0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol1439 = [1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol1440 = [1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol1441 = [0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol1442 = [0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2] pubkeycol1443 = [2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol1444 = [0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol1445 = [0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1446 = [0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol1447 = [0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol1448 = [0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol1449 = [0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol1450 = [1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol1451 = [0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol1452 = [0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol1453 = [2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0] pubkeycol1454 = [0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol1455 = [2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol1456 = [2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol1457 = [2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1] pubkeycol1458 = [2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1] pubkeycol1459 = [2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol1460 = [1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol1461 = [2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol1462 = [1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol1463 = [0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol1464 = [1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol1465 = [2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2] pubkeycol1466 = [2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol1467 = [1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol1468 = [0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol1469 = [1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol1470 = [2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1] pubkeycol1471 = [1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1] pubkeycol1472 = [2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1] pubkeycol1473 = [1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol1474 = [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2] pubkeycol1475 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0] pubkeycol1476 = [2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol1477 = [2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1] pubkeycol1478 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol1479 = [2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1] pubkeycol1480 = [0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol1481 = [0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2] pubkeycol1482 = [0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2] pubkeycol1483 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol1484 = [2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol1485 = [0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2] pubkeycol1486 = [0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol1487 = [1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol1488 = [1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol1489 = [2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol1490 = [1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2] pubkeycol1491 = [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol1492 = [2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2] pubkeycol1493 = [1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol1494 = [2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol1495 = [0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol1496 = [1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol1497 = [0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol1498 = [2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol1499 = [1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol1500 = [0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol1501 = [1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0] pubkeycol1502 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol1503 = [0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2] pubkeycol1504 = [2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol1505 = [0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol1506 = [0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol1507 = [0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol1508 = [1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol1509 = [0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol1510 = [2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol1511 = [2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0] pubkeycol1512 = [1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol1513 = [1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol1514 = [1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol1515 = [2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol1516 = [1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol1517 = [1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol1518 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol1519 = [2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol1520 = [2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol1521 = [2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol1522 = [1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol1523 = [2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol1524 = [2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol1525 = [0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2] pubkeycol1526 = [2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol1527 = [0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol1528 = [0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol1529 = [2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol1530 = [2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol1531 = [1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol1532 = [0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol1533 = [2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol1534 = [1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol1535 = [2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol1536 = [0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol1537 = [1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol1538 = [0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol1539 = [1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol1540 = [1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol1541 = [0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol1542 = [1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol1543 = [0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2] pubkeycol1544 = [0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1] pubkeycol1545 = [1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol1546 = [0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol1547 = [1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol1548 = [1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2] pubkeycol1549 = [2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1550 = [0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1] pubkeycol1551 = [0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2] pubkeycol1552 = [2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol1553 = [1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2] pubkeycol1554 = [2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol1555 = [2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol1556 = [0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol1557 = [0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol1558 = [0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol1559 = [1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol1560 = [0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1] pubkeycol1561 = [2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol1562 = [0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0] pubkeycol1563 = [2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol1564 = [2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol1565 = [0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol1566 = [0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0] pubkeycol1567 = [2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol1568 = [2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol1569 = [1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0] pubkeycol1570 = [2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol1571 = [1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol1572 = [1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1] pubkeycol1573 = [2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol1574 = [2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol1575 = [2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol1576 = [2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol1577 = [0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0] pubkeycol1578 = [1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol1579 = [0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol1580 = [1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1] pubkeycol1581 = [2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol1582 = [0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0] pubkeycol1583 = [1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol1584 = [1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol1585 = [1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0] pubkeycol1586 = [2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0] pubkeycol1587 = [1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol1588 = [0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol1589 = [1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol1590 = [1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2] pubkeycol1591 = [2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol1592 = [1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol1593 = [0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol1594 = [1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol1595 = [2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol1596 = [0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol1597 = [0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol1598 = [1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2] pubkeycol1599 = [0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol1600 = [2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol1601 = [0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol1602 = [2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1] pubkeycol1603 = [2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1] pubkeycol1604 = [2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol1605 = [0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol1606 = [1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol1607 = [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol1608 = [2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1] pubkeycol1609 = [2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol1610 = [2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol1611 = [0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol1612 = [2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0] pubkeycol1613 = [1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2] pubkeycol1614 = [2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0] pubkeycol1615 = [1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol1616 = [2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol1617 = [1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol1618 = [0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol1619 = [0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1] pubkeycol1620 = [0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol1621 = [1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol1622 = [0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0] pubkeycol1623 = [2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol1624 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol1625 = [1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol1626 = [1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol1627 = [1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol1628 = [2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol1629 = [0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol1630 = [1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol1631 = [1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0] pubkeycol1632 = [2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol1633 = [2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol1634 = [2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2] pubkeycol1635 = [2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol1636 = [1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol1637 = [0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol1638 = [0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol1639 = [2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol1640 = [1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0] pubkeycol1641 = [1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol1642 = [0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2] pubkeycol1643 = [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1] pubkeycol1644 = [2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol1645 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol1646 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol1647 = [0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1] pubkeycol1648 = [1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2] pubkeycol1649 = [2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1] pubkeycol1650 = [2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol1651 = [0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol1652 = [1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol1653 = [0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol1654 = [2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0] pubkeycol1655 = [1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol1656 = [2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol1657 = [2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2] pubkeycol1658 = [0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol1659 = [1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol1660 = [2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2] pubkeycol1661 = [2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2] pubkeycol1662 = [2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol1663 = [1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol1664 = [2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1] pubkeycol1665 = [1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol1666 = [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol1667 = [2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2] pubkeycol1668 = [1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol1669 = [1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol1670 = [1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol1671 = [0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol1672 = [0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0] pubkeycol1673 = [2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2] pubkeycol1674 = [2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2] pubkeycol1675 = [1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol1676 = [1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol1677 = [1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol1678 = [1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol1679 = [0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol1680 = [2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol1681 = [0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol1682 = [2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol1683 = [1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol1684 = [1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol1685 = [1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol1686 = [2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol1687 = [2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol1688 = [1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol1689 = [0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol1690 = [2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol1691 = [1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol1692 = [0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1] pubkeycol1693 = [2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol1694 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol1695 = [2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol1696 = [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2] pubkeycol1697 = [2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol1698 = [0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol1699 = [2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol1700 = [2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0] pubkeycol1701 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol1702 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1] pubkeycol1703 = [0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol1704 = [2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol1705 = [0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol1706 = [1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol1707 = [1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol1708 = [2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol1709 = [2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1] pubkeycol1710 = [1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0] pubkeycol1711 = [0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol1712 = [1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol1713 = [2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1] pubkeycol1714 = [0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol1715 = [1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1] pubkeycol1716 = [1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0] pubkeycol1717 = [2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol1718 = [2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol1719 = [0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol1720 = [1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0] pubkeycol1721 = [2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol1722 = [0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0] pubkeycol1723 = [0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol1724 = [2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol1725 = [2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol1726 = [2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol1727 = [1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol1728 = [1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol1729 = [1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol1730 = [1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2] pubkeycol1731 = [0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol1732 = [0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol1733 = [1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0] pubkeycol1734 = [1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol1735 = [2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol1736 = [2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol1737 = [1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol1738 = [0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol1739 = [1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0] pubkeycol1740 = [1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol1741 = [2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol1742 = [0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol1743 = [2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol1744 = [2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0] pubkeycol1745 = [1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol1746 = [1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1] pubkeycol1747 = [1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol1748 = [0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol1749 = [0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol1750 = [1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol1751 = [1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol1752 = [0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1] pubkeycol1753 = [1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol1754 = [2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol1755 = [1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol1756 = [1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol1757 = [0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1] pubkeycol1758 = [1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol1759 = [2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol1760 = [1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0] pubkeycol1761 = [0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol1762 = [0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0]